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PHYSICS AND ASTRONOMY College of Natural Sciences and Mathematics Department Chair Concurrent and/or Summer Enrollment in Another Kwang Y. Shen College Students who wish to take course work in a community or Department Office another college to meet curricular requirements while en- PH3-207 rolled as undergraduates in the College of Natural Sciences Telephone/FAX and Mathematics must petition the appropriate department (562) 985-4924/(562) 985-7924 for prior approval to enroll in specific courses. This policy Faculty applies to concurrent enrollment or summer enrollment. Uni- versity policy must also be complied with. See “Concurrent Professors Enrollment” and “Transfer of Undergraduate Credit” in this M. Zahur Anwar Catalog. Courses not receiving prior approval will not be ac- R. Dean Ayers cepted for credit by the department. Lowell J. Eliason Facilitated Enrollment into Classes Simon George All entering students who declare a major in a degree pro- Paul Hintzen gram offered by this Department must participate in the Col- Chi-Yu Hu lege of Natural Sciences and Mathematics’ Science Safari to Patrick F. Kenealy Success (for first-time freshmen) or EONS (Enrollment and Lawrence S. Lerner Orientation in the Natural Sciences and Mathematics for Alfred F. Leung transfer students) Program. These programs are held in Keung P. Luke June-July for those starting in the Fall Semester and in Janu- Jack H. Munsee ary for those starting in the Spring Semester. Department S. Rajpoot advisors will be available to provide an overview of the stu- Sema’an I. Salem dents’ chosen baccalaureate degree program, to assist with academic advisement, to provide information on the many Bruce L. Scott career opportunities available, and to aid students in enroll- Kwang Y. Shen ing in classes. Contact the Student Access to Science Cen- Edwin L. Woollett ter (FO5-109) or Department Office for additional information. Associate Professors Mark W. Gross Bachelor of Science in Physics (code 3-7668) Z. Hlousek The major in physics for the bachelor of science degree is Jing Liu offered for the student seeking the doctoral degree and the position of professional physicist in the traditional sense, the Assistant Professors student seeking a position in an industrial laboratory, and the Xia Qiu student seeking a career in teaching physics. This major pro- Department Secretary gram has been designed with the conviction that a student Irene Howard must first of all be a physicist and must have a program which penetrates the fundamental conceptual bases of phys- ical phenomena, cultivates skill in the design of experiments Students desiring information should contact the Department and their practical execution and stimulates interest in the Office for referral to one of the faculty advisors. many means used to interpret the physical world. A minimum Undergraduate Advisor of 124 units is required. Lowell J. Eliason Requirements Graduate Advisor Lower Division: PHYS 151, 152, 154, 155; MATH 122, 123, Alfred F. Leung 224; CHEM 111A, 111B; BIOL 200 or 211A. Upper Division: ENGL 317; MATH 370A or 364A; MATH 370B or 461; 34 units of upper division physics including PHYS 310, 340A, 340B, 350, 360, 380, 422, 450, and one laboratory course chosen from PHYS 330, 403, 476, 480, and 486. The remaining (6 to 8) units are to be chosen from any upper division physics courses except PHYS 400I. Grade Requirements Physics majors must have a "C" average in the major. Physics students must achieve a grade of "C" or better in each required course in the major. 498 • Physics and Astronomy • 1997/98 CSULB Catalog The following schedule is typical for an upper division ma- Prerequisites jor who is a full-time student. 1. A bachelor’s degree with a major in physics; or Junior Year: 2. A bachelor’s degree with at least 24 units of upper division Fall: PHYS 310, 360, 380; MATH 370A or 364A; MATH physics. (Students deficient in undergraduate preparation 370B or 461 (it is recommended that MATH 370A or 364A must take courses to remove these deficiencies with or be taken before PHYS 310, if possible). without credit toward the degree at the discretion of the Spring: PHYS 340A, 350; MATH 370B or 461 (if not taken department graduate advisor.) previously). Requirements Senior Year: 1. Advancement to Candidacy Fall: PHYS 340B, 422, 450. a. Students must fulfill the University requirements for ad- Spring: Three upper division physics electives. vancement to candidacy and must satisfy the Graduate Bachelor of Arts in Physics (code 2-7668) Committee as to the adequacy of their preparation by pass- ing the Physics Department screening examination. This The major in physics for the bachelor of arts degree is will be done in the first semester in which they are regis- offered in the spirit of providing a curriculum devoted to “in- tered for courses acceptable for credit toward the M.S., ex- terpretation of physics and its reintegration with other parts of cept in individual cases to be determined by the Graduate our culture.” A primary purpose is to prepare teachers of Committee. physics and physical science for secondary schools. b. A student must have a "B" average or better in six units of Requirements physics applicable toward the master’s degree, of which at Lower Division: PHYS 151, 152, 154, 155; MATH 122, 123, least three units are at the graduate level. 224; CHEM 111A, 111B; BIOL 200 or 211A. 2. Recognizing that effective organization and verbal commu- Upper Division: ENGL 317 (may be waived for students nication of physics are a necessary part of a successful who achieved a standard score of 24 on the ACT English graduate program, the Department of Physics and Astrono- sub-test or who received an “A” or “B” grade in ENGL 100); my normally requires that a graduate student serves at least A minimum of 24 units of courses selected in consultation one semester as a teaching associate or a graduate with a major advisor. Work must be completed in each of the assistant as part of the M.S. program. Exceptions may be following fields: physics, chemistry, and geology. At least 18 granted by the graduate advisor. units of this work must be in physics. Candidates for a teach- Additional Requirements ing credential must complete at least six units selected from Plan I GEOL 102, 460, 461. 1. A minimum of 30 units of upper division and graduate Minor in Physics (code 0-7668) courses including PHYS 540A, 540B, 550A, 550B, 560A, A minimum of 20 units which must include: and 695; Lower Division: PHYS 151, 152, 154, 155. 2. Completion of a written thesis, 6 units of Physics 698, and Upper Division: A minimum of nine units which may not an oral presentation of the thesis research. The members of include PHYS 360. the candidate’s thesis committee must approve the thesis before the student may schedule the oral presentation. Master of Science in Physics (code 6-7668) Note: Students must be advanced to candidacy before The Department of Physics and Astronomy offers gradu- enrolling in PHYS 698. As early as possible, a graduate ate study leading to the master of science degree. The M.S. student should choose a thesis advisor who will help in degree is available in both a general option and an option in selecting the student’s thesis committee consisting of at applied physics. A student may choose the general option least three members (including the thesis advisor and at either with a thesis (Plan I) or, if the department graduate least one other member of the department). committee gives permission, with a comprehensive examina- Plan II tion (Plan II); the option in applied physics requires a thesis. 1. Permission of the Department Graduate Committee; Active areas of research are: observational astronomy, ap- 2. A minimum of 30 units of upper division and graduate plied optics, laser spectroscopy, materials research, particle courses including PHYS 510, 540A, 540B, 550A, 550B, physics, atomic physics, quantum gravity, muon catalyzed 560A, and 695; fusion, intermediate energy physics, acoustics, and con- densed matter physics. 3. Passing a comprehensive examination. Teaching associateships and graduate assistantships are The remaining required units, not more than 6 of which may available to students working on the master’s degree. be in related fields, are to be from courses selected in consul- tation with the graduate advisor. Application should be made to the graduate advisor of the Department of Physics and Astronomy. Option in Applied Physics (code 6-7669) The Option in Applied Physics provides a master’s degree program that emphasizes concepts and techniques particular- ly appropriate for applied physics. It is intended for students having a background in physics, engineering, or a related field. 1997/98 CSULB Catalog • Physics and Astronomy • 499 Prerequisites Physics Courses (PHYS) 1. A bachelor’s degree with a major in physics, or 2. A bachelor’s degree with a major in engineering with Lower Division upper division physics substantially equivalent to PHYS 100A,B. General Physics (4,4) F,S 310, 340AB and 450, as determined by the Department Prerequisites: Three years of high school mathematics including Graduate Advisor, or algebra, geometry, and intermediate algebra (or MATH 010) or the equivalent; a knowledge of basic trigonometry is strongly rec- 3. A bachelor’s degree with upper division physics and ommended. PHYS 100A is a prerequisite for PHYS 100B. Year mathematics courses essentially equivalent to PHYS 310, course in introductory physics. First semester considers proper- 340B, 450, and MATH 370A and 370B, as determined by ties of matter, mechanics, wave motion and heat. Second semes- ter considers electricity, light, and atomic and nuclear physics. the Department Graduate Advisor. (Lecture 3 hrs., laboratory 3 hrs.) A course fee may be required. Students deficient in undergraduate preparation must (100A: CAN PHYS 2; 100B: CAN PHYS 4) take courses to remove these deficiencies as determined by 102. Introduction to Physics (3) F,S the Department Graduate Advisor. Prerequisite: MATH 117 (which may be taken concurrently) or three-and-one-half years of high school mathematics including Requirements two years of algebra, one year of geometry and one-half year of 1. Advancement to Candidacy trigonometry. This course is designed to assist students who need additional preparation before enrolling in PHYS 100A or a. Students must fulfill the University requirements for ad- 151. Basic problems and concepts in physics, particularly in me- vancement to candidacy and must satisfy the Graduate chanics. Credit/No Credit grading only. (Lectures, problem ses- Committee as to the adequacy of their preparation by sions 4 hrs.) Course begins in the fourth week of the semester. passing the Physics Department screening examination. 104. Survey of General Physics (4) F,S This will be done in the first semester in which they are Prerequisites: Three years of high school mathematics including registered for courses acceptable for credit toward the algebra, geometry, and intermediate algebra (or MATH 010) or the equivalent; a knowledge of basic trigonometry is strongly rec- M.S., except in individual cases to be determined by the ommended. Designed to acquaint the student with the more im- Graduate Committee. portant aspects of elementary physics. Emphasis on b. A student must have a B average or better in six units physiological physics, color and sound. Recommended for art, music and physical education majors. (Lecture 3 hrs., laboratory of physics applicable toward the master’s degree, of 3 hrs.). A course fee may be required. which at least three units are at the graduate level. 151. Mechanics and Heat (4) F,S 2. Recognizing that effective organization and verbal Prerequisite: MATH 122. Kinematics, Newton’s Laws, rotational communication of physics are a necessary part of a motion, fluid statics, laws of thermodynamics. (Lecture 3 hrs., successful graduate program, the Department of Physics laboratory-recitation 3 hrs.) A course fee may be required. and Astronomy normally requires that a graduate student 152. Electricity and Magnetism (4) F,S serve at least one semester as a teaching associate or a Prerequisites: PHYS 151, MATH 123. Mechanical waves, Cou- graduate assistant as part of the M.S. program. Excep- lomb’s law, electrostatics, electric circuits, introductory electron- ics, magnetic fields, induction and Maxwell’s equations. (Lecture tions may be granted by the graduate advisor. 3 hrs., laboratory 3 hrs.) A course fee may be required. Additional Requirements 154. Modern Physics and Light (3) F,S Prerequisites: PHYS 152, MATH 224. Relativity, photoelectric ef- Thirty units of upper division and graduate courses as fect; quantum theory, Bohr model of the atom, wave mechanics, described below. geometrical optics, interference, diffraction and polarization. Not 1. PHYS 540A, 550A, 560A, 569, and 695. open to students with credit in PHYS 153. (Lecture 3 hrs.) 2. Two of the following courses or combinations of courses: 155. Laboratory on Light and Modern Physics (1) F,S PHYS 502/503, 575/576, 580, and 586. Prerequisite: PHYS 154 which may be taken concurrently. Experi- mental work in geometrical and physical optics and atomic and 3. Completion of a written thesis, 6 units of Physics 698, and nuclear physics. Not open to students with credit in PHYS 153. an oral presentation of the thesis research. The members PHYS 154 and 155 together are equivalent to PHYS 153. (Labora- of the candidate’s thesis committee must approve the tory 3 hrs.) A course fee may be required. thesis before the student may schedule the oral presenta- tion. Upper Division Note: Students must be advanced to candidacy before 310. Mechanics I (3) F enrolling in Physics 698. As early as possible, a graduate Prerequisites: PHYS 151, MATH 370A or 364A (may be taken student should choose a thesis advisor who will help in concurrently). Kinematics and dynamics of mass points and sys- tems of particles. Conservation laws. Harmonic motion. Central selecting the student’s thesis committee consisting of at force problem. Noninertial frames of reference. Lagrangian and least three members (including the thesis advisor and at Hamiltonian formulation of the laws of mechanics. (Lecture 3 least one other member of the department). hrs.) 4. Courses selected in consultation with the Department 311. Mechanics II (3) S, Even Years Graduate Advisor and/or thesis advisor to complete the Prerequisite: PHYS 310. Dynamics of rigid body, constraints, iner- remaining 2 to 4 units. tia tensor, gyroscopic motion, deformable media: waves on strings and in fluids, variational methods and non-linear mechan- ics. (Lecture 3 hrs.) 330. Experimental Optics and Spectroscopy (3) S Prerequisite: PHYS 154, 155. Interference, diffraction, polariza- tion and elementary spectroscopy. (Lecture 2 hrs, laboratory 3 hrs.) A course fee may be required. 500 • Physics and Astronomy • 1997/98 CSULB Catalog 340A. Electricity and Magnetism I (3) S 434./534. Astrophysics (3) F, Even Years Prerequisites: PHYS 152 and 310, MATH 370A or 364A. Vector Prerequisite: Senior standing in physics or consent of instructor. calculus, electrostatics, and magnetostatics. Formulation of Max- (Undergraduates register in PHYS 434; graduates register in well’s equations in vector analytic form. (Lecture-discussion 3 hrs.) PHYS 534.) Review of observational data of astronomy, elementa- 340B. Electricity and Magnetism II (3) F ry theory of stellar structure, model stellar calculation and simple stellar systems. (Lecture 3 hrs.) Prerequisite: PHYS 340A. Special relativity. Applications of Max- well’s equations: Plane electromagnetic waves, guided waves, 444./544. Plasma Physics (3) S, Odd Years radiation, interaction of electromagnetic waves and matter. Prerequisites: PHYS 340A. (Undergraduates register in PHYS (Lecture-discussion 3 hrs.) 444; graduates register in PHYS 544.) Characteristic behavior of 350. Modern Physics (3) S high temperature plasma. Particle trajectories, two-fluid and hy- dromagnetic models, waves, instabilities and transport process- Prerequisites: PHYS 310, MATH 370A or 364A. Physical phenom- es. Applications to astrophysical, geophysical and laboratory ena and models leading to the development of quantum mechan- plasmas. (Lecture 3 hrs.) ics. Schroedinger equation, one-dimensional quantum mechanical problems, uncertainty principle, one-electron atoms, elementary 450. Quantum Physics I (3) F applications of quantum mechanics. (Lecture-discussion 3 hrs.) Prerequisites: PHYS 310, 340A, 350. Schroedinger equation, 360. Computers in Physics (3) F atomic physics, harmonic oscillator, scattering, perturbation theo- ry, Heisenberg and Dirac representations, spin, symmetries (an- Prerequisites: PHYS 152, MATH 370A or 364A (may be taken con- gular momentum, time reversal, and parity), applications. currently). Introduction to the use of computers in physics. The PC (Lecture-discussion 3 hrs.) and DOS, fundamentals of programming, introduction to numerical analysis and computer graphics. Use of selected types of com- *451. Quantum Physics II (3) S mercially available programs such as spreadsheets and symbolic Prerequisite: PHYS 450. Measurement processes, atomic phys- analysis programs. (Lecture-discussion 3 hrs.) ics, identical particles, quantum statistics, numerical methods, 370. Statistical Thermodynamics (3) S many-body systems, density matrix, applications. (Lecture-discussion 3 hrs.) Prerequisites: CHEM 111B, PHYS154, MATH 224, and one upper-division chemistry or physics course. Principles of statisti- 454./555. Elementary Particle Physics (3) S, Even Years cal mechanics and thermodynamics with applications to chemical Prerequisite: PHYS 450. (Undergraduates register in PHYS 454; equilibrium and kinetics, spectroscopy, solid state phenomena, graduates register in PHYS 555.) Particle detectors and accelera- and problems of biological interest. (Same course as CHEM 370.) tors; ionization and radiation energy loss; invariance principles, (Lecture 3 hrs.) conservation laws, particle properties, elementary scattering the- 380. Fundamentals of Electronics (4) F ory; weak, electromagnetic and strong interactions; particle mod- els. (Lecture-discussion 3 hrs.) Prerequisite: PHYS 152. Network analysis and complex imped- ance, transistor circuits, operational amplifiers, active filters and 470./569. Introduction to Solid State Physics (3) S oscillators, digital electronics, analog-digital interfacing, micropro- Prerequisite: PHYS 450. (Undergraduates register in PHYS 470; cessors. (Lecture 3 hrs., laboratory 3 hrs.) A course fee may be graduates register in PHYS 569.) Study of the properties of solids required. from a quantum theoretical viewpoint. Topics include lattice vibra- 400I. History of Western Scientific Thought (3) F,S tions, elastic constants, and thermal, electric and magnetic prop- erties. (Lecture 3 hrs.) Prerequisites: ENGL 100 and upper division status. An interdisci- plinary introduction to the history of science for both scientists and 475./575. Modern Optics (3) F non-scientists. Evolution of the scientists’ views of the means and Prerequisite: PHYS 340A. (Undergraduates register in PHYS 475; ends of their own activities; the ways in which science is affected graduates register in PHYS 575.) Propagation of electromagnetic by and affects contemporary cultures. Same as HIST 400I. (Lec- waves, optical resonators, laser spectroscopy and operation, ture 3 hrs.) optical phase conjugation, nonlinear optics and selected applica- 402./502. Fourier Methods in Physics (3) F tion. (Lecture 3 hrs.) Prerequisites: PHYS 310, MATH 370B or 461. (Undergraduates 476./576. Modern Optics Laboratory (1) F register in PHYS 402; graduates register in PHYS 502.) Fourier Prerequisites: PHYS 475/575 which may be taken concurrently. transforms in time and space, convolution, generalized functions, (Undergraduates register in PHYS 476; graduates register in impulse response and transfer function. Application of Fourier PHYS 576.) Selected experiments illustrating principles and tech- techniques to problems in classical acoustics and optics: oscilla- niques of current interest in electro-optics and laser physics. Ap- tors, directional radiators, holography and imaging in general. plications include optical methods in communications, atomic (Lecture 3 hrs.) spectroscopy, and nonlinear optics. Traditional grading only. 403./503. Fourier Physics Laboratory (1) F (Laboratory 3 hrs.) A course fee may be required. Prerequisite: PHYS 402 which may be taken concurrently. (Under- 480./580. Computer Interfacing in Experimental Physic (3) S graduates register in PHYS 403; graduates register in PHYS 503.) Prerequisite: PHYS 380 or consent of instructor. (Undergradu- Selected experiments in acoustics and optics illustrating Fourier ates register in PHYS 480; graduates register in PHYS 580.) In- techniques in wave physics. Detailed study of the discrete Fourier troduction to modern data acquisition and analysis methods transform and its application to experimental measurements and using computer-based equipment and high level software. Se- calculations. (Laboratory 3 hrs.) A course fee may be required. lected physics experiments are performed with standard person- 410./515. Relativity (3) F, Odd Years al computers, research-quality data acquisition hardware, and programmable instruments. The use of the computer as a tool in Prerequisites: PHYS 340A and either MATH 370B or 461; or per- the execution and interpretation of physics experiments is em- mission of the instructor. (Undergraduates register in PHYS 410; phasized. (Lecture 2 hrs., laboratory 3 hrs.) A course fee may graduates register in PHYS 515.) The Lorentz transformations, be required. 4-vectors, tensors, special relativistic kinematics, differential ge- ometry, general relativity, applications. (Lecture-discussion 3 hrs.) 486./586. Experimental Physics — Radiation (3) S, Odd 422./522. Thermal Physics (3) F Years Prerequisites: PHYS 310, 350. (Undergraduates register in PHYS Prerequisites: Consent of instructor. (Undergraduates register in 422; graduates register in PHYS 522.) Entropy and temperature, PHYS 486; graduates register in PHYS 586.) Interaction of gam- Boltzmann distribution and Helmholtz free energy, thermal radia- ma rays with matter. X-ray techniques. Charged Particle range tion, chemical potential, Gibbs distribution, ideal gas, Fermi and and energy loss. Radiation detectors. Neutron production and Bose gases, heat and work, Gibbs free energy and chemical reac- detection. (Lecture 2 hrs., laboratory- demonstration and/or spe- tions, phase transformations and kinetic theory. cial project 3 hrs.) A course fee may be required. (Lecture-discussion 3 hrs.) 1997/98 CSULB Catalog • Physics and Astronomy • 501 490./590. Special Topics in Physics (3) F,S Prerequisite: Consent of instructor. (Undergraduates register in Physical Science Courses (PHSC) PHYS 490; graduates register in PHYS 590.) Topics of interest in physics selected from such areas as atomic and nuclear physics, Lower Division astrophysics, physics of materials, low temperature physics, 112. Introduction to the Physical Sciences (3) F,S acoustics and theoretical physics. Both undergraduate and grad- Prerequisites: Three years of high school mathematics including uate students may take the course for a maximum of 6 units of algebra, geometry, and intermediate algebra (or MATH 010) or credit. (Lecture 3 hrs.) A course fee may be required. the equivalent. Selected processes which illustrate some of the 496. Special Problems in Physics (1-3) F,S basic principles used by scientists to interpret modern ideas of Prerequisites: Consent of instructor and senior standing. Prob- matter and energy in the physical universe. Students with a full lems in physics. Problems selected by instructor for considered year course in high school physics or chemistry should elect and mature analysis. A written and 10-minute oral report are re- some other lower division course in chemistry, geology or phys- quired. May be repeated for credit to a max of 4 units. A course ics. Not open for credit to majors in any of the physical sciences. fee may be required. (Lecture 2 hrs., laboratory 3 hrs.) A course fee may be required. Upper Division Astronomy Courses (ASTR) 331. Light, Lasers and the Visual Image (3) F Lower Division Nonmathematical course that describes light, its behavior and applications. Emphasis on image formation, optical instruments, 100. Astronomy (3) F,S science of color, lasers, holography and analysis of light for ele- Prerequisites: Three years of high school mathematics including ments, planets and stars. Colorful demonstrations using lasers algebra, geometry, and intermediate algebra (or MATH 010) or and holograms including kinetic art. Recommended for art and the equivalent. Introductory course in astronomy. The earth moon other non-science majors. (Lecture-demonstration 3 hrs.) system and the planets, the stars and their constitution. Survey of the methods of astronomical observation. (Lecture 3 hrs.) 100L. Introductory Astronomy Laboratory (1) F Prerequisites: Three years of high school mathematics including Physics (PHYS) algebra, geometry, and intermediate algebra (or MATH 010) or the equivalent; and ASTR 100 which may be taken concurrently. Graduate Division Astronomical coordinates, star maps, magnitude, spectral classi- fication, ages of stars, distance to star clusters. Traditional grad- 500. Research Methods (1) F,S ing only. Not open to students with credit in ASTR 101. Prerequisite: Consent of instructor. Directed study of the literature (Laboratory 3 hrs.) A course fee may be required. about research methods in physics. May be repeated once but only one unit may be applied to the requirements for the Master 101. Astronomy II (3) F,S of Science in Physics. Prerequisite: ASTR 100. Deep sky objects will be discussed in lecture and studied by direct observation from images available 502./402. Fourier Methods in Physics (3) F on the Internet. Students will learn to use image processing soft- Prerequisites: PHYS 310, MATH 370B or 461. (Undergraduates ware. Through computer simulations and direct observation, stu- register in PHYS 402; graduates register in PHYS 502.) Fourier dents will become familiar with major stars and constellations and transforms in time and space, convolution, generalized functions, will learn to use celestial coordinates to locate objects of interest. impulse response and transfer function. Application of Fourier The course will normally include one or more weekend or evening techniques to problems in classical acoustics and optics: oscilla- field trips to local dark-sky observing sites. (Lecture 2 hrs., labo- tors, directional radiators, holography and imaging in general. ratory 3 hrs.) A course fee may be required. (Lecture 3 hrs.) 200. Introduction to Astronomy and Astrophysics (3) F,S 503./403. Fourier Physics Laboratory (1) F Prerequisite: MATH 101 (may be taken concurrently). Newton’s Prerequisite: PHYS 502 which may be taken concurrently. (Under- Laws and gravitation, the earth and the solar system, atomic radi- graduates register in PHYS 403; graduates register in PHYS 503.) ation, spectra of stars, stellar population, stellar clusters, the gal- Selected experiments in acoustics and optics illustrating Fourier axy and cosmology. (Lecture-discussion 3 hrs.) techniques in wave physics. Detailed study of the discrete Fouri- er transform and its application to experimental measurements and calculations. (Laboratory 3 hrs.) A course fee may be re- Upper Division quired. 370I. Extraterrestrial Environments (3) F,S 510. Graduate Mechanics (4) F Prerequisites: A course in the life or physical sciences with lab; Prerequisite: PHYS 310. Variational principles, Lagrange’s equa- two years of high school algebra, ENGL 100 and upper division tions, Hamilton’s equations, canonical transformations, status. Analysis of our own solar system and nearby stars with a Hamilton-Jacobi theory, relativistic mechanics and small oscilla- focus on the capacity of various environments to sustain human tion theory. (Lecture 4 hrs.) habitation. Review of processes of planetary, biological and stel- 515./410. Relativity (3) F, Odd Years lar evolution and extrapolation to estimate the prevalence of life Prerequisites: PHYS 340A and either MATH 370B or 461; or per- elsewhere in the universe. Critical analysis of available data on mission of the instructor. (Undergraduates register in PHYS 410; probable distances, masses and ages of nearest stars to deter- graduates register in PHYS 515.) The Lorentz transformations, mine spatial distribution of those most likely to have Earth-like 4-vectors, tensors, special relativistic kinematics, differential ge- planets. (Lecture 3 hrs.) ometry, general relativity, applications. (Lecture-discussion 3 hrs.) 522./422. Thermal Physics (3) F Prerequisites: PHYS 310, 350. (Undergraduates register in PHYS 422; graduates register in PHYS 522.) Entropy and temperature, Boltzmann distribution and Helmholtz free energy, thermal radia- tion, chemical potential, Gibbs distribution, ideal gas, Fermi and Bose gases, heat and work, Gibbs free energy and chemical re- actions, phase transformations and kinetic theory. (Lecture-discussion 3 hrs.) 502 • Physics and Astronomy • 1997/98 CSULB Catalog 534./434. Astrophysics (3) F, Even Years cal phase conjugation, nonlinear optics and selected applica- Prerequisite: Graduate standing in physics or consent of instructor. tions. (Lecture 3 hrs.) (Undergraduates register in PHYS 434; graduates register in PHYS 576./476. Modern Optics Laboratory (1) F 534.) Review of observational data of astronomy, elementary theo- Prerequisite: PHYS 475/575 which may be taken concurrently. ry of stellar structure, model stellar calculation and simple stellar (Undergraduates register in PHYS 476; graduates register in systems. (Lecture 3 hrs.) PHYS 576.) Selected experiments illustrating principles and tech- 540A. Graduate Electricity and Magnetism and niques of current interest in electro-optics and laser physics. Ap- Electrodynamics I (3) S plications include optical methods in communications, atomic Prerequisite: PHYS 340B. Boundary-value problems, applications spectroscopy, and nonlinear optics. Traditional grading only. of special functions to electro/magnetostatics, Green’s function (Laboratory 3 hrs.) A course fee may be required. techniques, multipole expansion of the electrostatic field, dielectric 580./480. Computer Interfacing in Experimental Physics (3) media, Maxwell’s equations, electromagnetic waves. (Lecture 3 S hrs.) Prerequisite: PHYS 380 or consent of instructor. (Undergradu- 540B. Graduate Electricity and Magnetism and ates enroll in PHYS 480; graduates enroll in PHYS 580.) Introduc- Electrodynamics II (3) F tion to modern data acquisition and analysis methods using Prerequisites: PHYS 540A. Covariant formalism, simple radiating computer-based equipment and high level software. Selected systems, radiation by moving charges, and selected topics in physics experiments are performed with standard personal com- electrodynamics chosen from the following: wave guides, magne- puters, research-quality data acquisition hardware, and program- tohydrodynamics, thermodynamics and electrodynamics of contin- mable instruments. The use of the computer as a tool in aiding uous media, and radiation reaction. (Lecture 3 hrs.) the execution and interpretation of physics experiments is em- phasized. (Lecture 2 hrs., laboratory 3 hrs.) A course fee may 544./444. Plasma Physics (3) S, Odd Years be required. Prerequisites: PHYS 340A. (Undergraduates register in PHYS 444; graduates register in PHYS 544.) Characteristic behavior of high 586./486. Experimental Physics-Radiation (3) S, Odd Years temperature plasma. Particle trajectories, two-fluid and hydromag- Prerequisites: Consent of instructor. (Undergraduates register in netic models, waves, instabilities and transport processes. Appli- PHYS 486; graduates register in PHYS 586.) Interaction of gam- cations to astrophysical, geophysical and laboratory plasmas. ma rays with matter. X-ray techniques. Charged Particle range (Lecture 3 hrs.) and energy loss. Radiation detectors. Neutron production and detection. (Lecture 2 hrs., laboratory- demonstration and/or spe- 550A. Quantum Mechanics I (3) F cial project 3 hrs.) A course fee may be required. Prerequisite: PHYS 450. Mathematical and postulational basis of quantum mechanics, one-dimensional problems, two-level sys- 590./490. Special Topics in Physics (3) F,S tems, angular momentum, central potentials, time independent Prerequisite: Consent of instructor. (Undergraduates register in and time dependent perturbation theory. (Lecture 3 hrs.) PHYS 490; graduates register in PHYS 590.) Topics of interest in physics selected for intensive development. Topics to be select- 550B. Quantum Mechanics II (3) S ed from such areas as atomic and nuclear physics, astrophysics, Prerequisite: PHYS 550A. Scattering, rotation group and irreduc- physics of materials, applied optics and laser spectroscopy, low ible tensor operations, identical particles, semi-classical radiation temperature physics, acoustics and theoretical physics. Both theory, atoms, path integral formalism, and other selected topics. undergraduate and graduate students may take the course for a (Lecture 3 hrs.) maximum of 6 units of credit. (Lecture 3 hrs.) A course fee may 554. Nuclear Physics (3) F be required. Prerequisite: PHYS 550A. Deuteron problem, nucleon-nucleon po- 599. Quantum Field Theory (3) F tential, shell model, nuclear models, nuclear reactions, elementary Prerequisites: PHYS 550B or permission of instructor. Selected particles, weak interactions, strong interactions. (Lecture 3 hrs.) topics to be chosen from: Many-particle systems and field theo- 555./454. Elementary Particle Physics (3) S, Even Years ry; interactions, bound states, and the S-matrix; gauge theories Prerequisite: PHYS 450. (Undergraduates register in PHYS 454; and Q.E.D.; path-integral picture. Selected applications from graduates register in PHYS 555.) Particle detectors and accelera- condensed matter physics, electro-weak interactions, Q.C.D., tors; ionization and radiation energy loss; invariance principles, lattice gauge theory, conformal field theory, string theory. (Lec- conservation laws, particle properties, elementary scattering theo- ture 3 hrs.) ry; weak, electromagnetic and strong interactions; particle models. 691. Directed Study (1) F,S,SS (Lecture-discussion 3 hrs.) Intensive study of advanced topics in physics. May be repeated 560A,B. Methods of Mathematical Physics (4,3) F,S once for credit. Prerequisites: MATH 370A,B or equivalent. Linear vector spaces, 694. Seminar in Special Topics (1) F,S eigen-value problem, functions of a complex variable, special Prerequisite: Graduate standing. Study of research papers and functions, properties and methods of solving partial differential research methods in selected topics. If demand for more than equations of physics, integral equations, tensor analysis and one subject exists, multiple sections may be given in any one group theory. (Lecture 4,3 hrs.) semester. May be repeated; only one unit of credit may be ap- 569./470. Introduction to Solid State Physics (3) S plied toward requirements for the master’s degree. (Seminar 1 hr.) Prerequisite: PHYS 450. (Undergraduates register in PHYS 470; 695. Colloquium (1) F,S graduates register in PHYS 569.) Study of the properties of solids Prerequisites: Graduate standing. Weekly meetings for presenta- from a quantum theoretical viewpoint. Topics include lattice vibra- tion and discussion of current research in physics even though tions, elastic constants, and thermal, electric and magnetic prop- only 1 unit is for the MS degree. All graduate students are ex- erties. (Lecture 3 hrs.) pected to attend each semester they are enrolled in the Universi- 570. Solid State Physics (3) F ty. Credit/No Credit grading only. (Seminar 1 hr.) Prerequisite: PHYS 450. The modern theory of solids from the 697. Directed Research (1-3) F,S,SS standpoint of quantum mechanics. Binding in solids, energy Theoretical and experimental problems in physics requiring inten- bands, electrical thermal and magnetic properties, imperfections, sive analysis. A course fee may be required. and semiconductors. (Lecture 3 hrs.) 698. Thesis (1-6) F,S,SS 575./475. Modern Optics (3) F Planning, preparation, and completion of an acceptable thesis in Prerequisite: PHYS 340A. (Undergraduates register in PHYS 475; partial fulfillment of the requirements for the master’s degree. A graduates register in PHYS 575.) Propagation of electromagnetic half-hour seminar presenting and defending the results of the waves, optical resonators, laser spectroscopy and operation, opti- thesis is required. Credit to be obtained only upon formal accep- tance of thesis. A course fee may be required. 1997/98 CSULB Catalog • Physics and Astronomy • 503

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