## MASTERS PROGRAM COURSE DESCRIPTIONS |

- PHYS 500. CLASSICAL MECHANICS (Credit, 3 hrs) (Lecture, 3 hrs). Survey of basic concepts; variational derivation of the Lagrange equations; central forces, conservation laws, symmetry, and applications; kinematics and dynamics of rigid body motion; survey of special relativity; Hamilton equations; canonical transformations; Hamilton-Jacobi theory; small oscillations.
- PHYS 505. SOLID STATE PHYSICS I (Credit, 3 hrs.) Survey of Solid State physics;
basic concepts and applications; Bravais lattices, free electron systems, lattice vibrations, electronic
energy bands, band structure computational methods; basic properties, thermal, electrical, and magnetic
properties; magnetic resonance, masers; semiconductors; defects, dislocations; BCS theory of
superconductivity, survey of high Tc superconductors.
- PHYS 510. MATHEMATICAL PHYSICS I (Credit 3 hrs.)(Lecture 3 hrs.). Mathematical methods for Physics; review of advanced vector calculus; review of key matrix algebra mehods; calculus of residues, conformal mapping, Fourier and Laplace transformatons; ordinary differential equations, the Frobenuis series method and Fuchs theorem; complete solutions of key partial differential equations of physics, Poisson, Laplace, Bessel, Legendre, Laguerre, diffusion, and other equations; separation of variables and integral transform methods for some of the proceding solutions; special and orthogonal functions, orthogonal polynomials; variational and numerical solutions of differential equations, the LCAO and Monte Carlo methods; introduction to nonlinear differential equations of physics.
- PHYS 515. EXPERIMENTAL METHODS (Credit 3 hrs.) (Laboratory 6 hrs.). Experimental methods in solid state physics. Selection of modern techniques for investigating properties of solids; basic instrumentation in condensed matter experiments; photo-emission and inverse photo-emission.
- PHYS 520. QUANTUM MECHANICS I (Credit 3 hrs.) (Lecture 3 hrs.). Foundations, principles, and applications of quantum mechanics; origin of quantum mechanics; Schrodinger equations for one dimensional potentials; general formulation of wave mechanics and statistical interpretations, WKB and; other approximations; the hydrogen atom; rotational spin, and addition of angular momenta; transitions and their probabilities.
- PHYS 525. SOLID STATE PHYSICS II (Credit, 3 hrs) (Lecture, 3 hrs.). Advanced theory of the condensed matter; computational methods for the quantitative description of the electronic structures of molecules, clusters, and solids; LCAO, APW, and other methods; applications of the Monte Carlo method; the dielectric functions and the electrical, optical, and magnetic properties of solids; magnetic moment formation in solids; quantum theory of superconductivity; the BCS theory and extensions. Prerequisite: Phys. 505 and 520.
- PHYS 530. STATISTICAL MECHANICS (Credit, 3 hrs.) (Lecture,3 hrs.). Laws of thermodynamics and applications; kinetic theory; Boltzman transport equation and Boltzman H theorem; principles of statistical mechanics, statistical origin of thermodynamic quantities; canonical and grand canonical ensembles; quantum statistical mechanics; the ideal Fermi gas and the ideal Bose-Einstein gas. Prerequisite: Phys. 500.
- PHYS 535. DEFECTS IN SOLIDS (Credit, 3 hrs.) (Lecture, 3 hrs.). Introduction to the physical properties of the crystals, experimental methods in color center research, trapped electron color centers in alkali halides, trapped hole centers in alkali halides, coloration and impurities in alkali halides, coloration and mechanical properties of alkali halides, mechanism of production of color centers, photoelectric emission and ultraviolet absorption spectra of the alkali halides, coloration of colloidal centers, color centers in materials other than alkali halides, applications of color center. Prerequisite: Phys. 505 and 520.
- PHYS 540. CLASSICAL ELECTRODYNAMICS I (Credit, 3 hrs.) (Lecture, 3 hrs.). Microscopic and macroscopic Maxwell's equations, interpretation of the terms, related laws and wave equations with or without source terms; applications to electrostatics with the full treatment of specific problems; multipole expansion; magnetostatics; plane waves, reflection; wave guides and cavities; emmision of elecrtromagnetic radiation. Prerequisite: Phys. 510
- PHYS 541. CLASSICAL ELECTRODYNAMICS II (Credit, 3 hrs.) (Lecture, 3 hrs.). Relativistic electrodynamics; review of the special theory of relativity and applications to Maxwell's equations; relativistic Lagrangian and Hamiltonian for a charged particle; collisions of charged particles; omissions of radiation , the Cherenkov radiation; relativistic Bremstrahlung, radiative Beta processes; multipole fields, radiation emission, scattering and radiation damping processes; numerical representations of solutions to selected problems. Prerequisite: Phys. 540.
- PHYS 542. COMPUTATIONAL PHYSICS (Credit, 3 hrs.) (Lecture & computational Laboratory). Numerical methods and their applications in physics; numerical solutions of selected differential equations; Monte Carlo method and applications to modeling; molecular dynamics and other simulations; electronic structure calculations for multi-electron systems. Prerequisite: Mathematical Physics I, PHYS 510, and a working knowledge of FORTRAN or C++, or an equivalent programming language.
- PHYS 543. PHYSICS AND TECHNOLOGY OF THIN FILMS (Credit, 3 hrs)(Lecture 2 hrs, Lab. 2 hrs.) Preparation methods; thickness measurements and monitoring; analytical techniques of characterization, growth and structure of films; mechanical properties of films; electrical and magneto transport properties of films;magnetism of films; thin film devices; fabrication of thin film microelectronic devices.
- PHYS 544. X-RAY PHYSICS AND SYNCHROTRON RADIATION TECHNIQUES (Credit, 3 hrs)(Lecture 2 hrs, lab. 2 hrs.) X-rays and early atomic physics, synchrotron Radiation; physics of hot and dense plasmas; X-Ray lasers, brightness and coherence of X-Rray sources; scattering and refractive index of X-ray wavelengths; diffractive optics and zone plate microscopy: diffraction grating for monochromators and spectrometers; biological microscopy, reflective X-ray imaging, multilayer interference coatings; application of X-ray microprobes, chemical applications of synchrotron radiation; components of wiggler and other beam lines.
- PHYS 545. ELECTRONICS (Credit, 3 hrs.)(Lecture 2 hrs., Lab 3 hrs.). Introduction to integrated circuits, transistors, operational amplifiers and analog computer. Introduction to number systems and codes. Boolean algebra, logic circuits, TTLNIM, CANAC, FASTBUS, and VME logics. Arithmetic circuits, binary adders and subtractors. Sequential logic, flip-flop circuit and triggering. Solving logic equations using multiplexers, encoders and decoders, and parity checkers. Analog to digital conversion, data processing and collections.
- PHYS 550. SPECTROSCOPY (Credit, 3 hrs.)(Lecture, 3 hrs.). Review of classical electrodynamics, review of quantum mechanics, fine structure of hydrogenic atoms, two electron atoms. Zeeman and Paschen-Back effect, diatomic moleules, coupling of vibration and rotation, electronic spectra and diatomic molecules, spontaneous emission of radiation, selection rules for electric dipole transitions, measurement of radiative life times of atoms and molecules, forbidden transitions and metastable atoms, width and shape of spectral lines, absorption and stimulated emission of radiation. Prerequisite: Phys. 520 and 540.
- PHYS 555. COHERENT OPTICS AND HOLOGRAPHY (Credit, 3 hrs.)(Lecture, 3 hrs.). Introduction to modern optics, mathematical methods of modern optics, image formation in non-coherent light, coherence characteristics of light, image formation in coherent light, theoretical and experimental foundations of optical holography, Fourier transforms, convolutions, correlations, spectral analysis and theory of distributions, coherent and incoherent imaging. Prerequisite: Phys. 540.
- PHYS 560. QUANTUM OPTICS (Credit 3 hrs.)(Lecture, 3 hrs). Foundation of quantum optics; optical Bloch equation; maser system and laser system; quantum field theory of light; coherent effects; applications to solid state physics; current research topics in optics. Prerequisite: Phys. 510 and 520.
- PHYS 565. OPTICAL AND ELECTRONIC MATERIALS (Credit, 3 hrs.)(Lecture, 3 hrs.). Developement of new materials for photonic devices, improvement of existing optical materials, role of glasses in optical sciences, optical properties such as refractive index, the transmittance and dispersion, optical quality, thermal, mechanical and chemical properties, crystalline optical materials for polarization control and for laser applications, rare earth doped glasses, oxide fibre fabrication, halide glasses, chalcogenide glasses, crystalline fibres, crystalline fibre for W, VIS and IR applications, III-V semiconductors for photonic integrated circuits and devices such as LED, laser diodes and photo diodes; advances with a selection of experimental lnP based PICs. Prerequisite: Phys. 505.
- PHYS 570. ELECTRO-OPTICS(Credit, 3 hrs.)(Lecture, 3 hrs.). Introduction to electro-optics, optical radiation, geometric and physical optics. Lasers and electro-optical modulation, optical radiation detection, analysis methods for electro-optical systems, detector arrays and imaging tubes, electro-optical sensors, optical signal processing, optical path characteristics, optical communications. Prerequisite: modern optics and Phys. 540.
- PHYS 580. PARTICLE PHYSICS (Credit, 3 hrs.)(Lecture, 3 hrs.). Description of elementary particles and their interactions; particle accelerators, colliding-beam machines, particle detection; invariance and conservation laws - spin, parity, isospin, strangeness; static quark model, quark spin and color. SU(3); weak interaction and beta decay, neutrino interacton, nonconservation of parity, Weinberg-Salam theory; quark-quark interaction, QCD, deep inelastic scattering; unification of electroweak with other interactions, grand unification, supersymmetry. Prerequisite: Phys. 520
- PHYS 590. GRADUATE SEMINAR (Credit, 1 hr.). Selected contemporary topics of interesting developments in physics, applied physics and materials science by invited speakers, instructors and students.
- PHYS 600. THESIS (Credit, 1-6 hrs.). Six hours credit will be given only upon completion of an acceptable thesis.