Course Descriptions

Concepts in Physics Nature of concepts and scientific theory; historical and philosophical aspects of natural sciences; introductory concepts in modern physics; this course will involve reading assignments and written essay work by the student.
Mechanics Vectors and coordinate systems; kinematics, dynamics; work and energy; dynamics of system of particles; conservation of energy and momentum, collisions; rotational kinematics and dynamics; equilibrium of rigid bodies; oscillations; gravitation; waves; fluid mechanics; thermodynamics.
Electricity and Magnetism Charge and matter; electric field and Gauss' law; DC circuits; magnetic field; Ampere's law; Faraday's law; inductance; magnetic properties of matter; Maxwell's equations; electromagnetic waves; optics.
Programming for Scientists Introductory programming concepts, number systems, expressions, basic data structures, algorithmic processes; applications to numerical and non-numerical problems using Fortran. Solutions to physical problems will be stressed.
Classical Mechanics I Elements of Newtonian mechanics; motion of particle; motion of system of particles; motion of rigid body; gravitation; central force problems; special theory of relativity.
Classical Mechanics II Principles of least action; Lagrange's equations of motion; Hamilton's equations of motion; theory of small vibrations.
Quantum Physics Old quantum theory; elementary introduction to quantum physics; Schrodinger equation, uncertainty principle, correspondence principle; one dimensional problems; angular momentum; hydrogen atom.
Methods of Mathematical Physics Vector analysis, Fourier analysis; Sturm-Liouville theory; special functions.
Waves and Optics Free and forced oscillations; traveling waves; principle of superposition; modulations; pulses and wave packets; electromagnetic waves; reflection, refraction, interference, diffraction and polarization; interferometry; holography.
Electromagnetic Theory I Electrostatics; Coulomb's and Gauss' laws, the scalar potential. Solutions to the Laplace equation in rectangular, spherical and cylindrical coordinate systems with various boundary conditions. Poisson's equation; energy in the electric field; electrostatics of materials; capacitance. Magnetostatics: Biot-Savart and Ampere's laws, the field vector potential; energy in the magnetic field; magnetostatics of materials; Faraday's law; inductance.
Electromagnetic Theory II Maxwell's equations; electromagnetic waves; reflections from boundaries; propagation in waveguides; radiation from accelerating charges; Lorentz transformations of electric and magnetic fields.
Quantum Mechanics I Wave packets and uncertainty; the postulates of quantum mechanics; eigenfunctions and eigenvalues; simple problems in one dimension; general structure of wave mechanics; operator methods in quantum mechanics; harmonic oscillator; path integral formulation of quantum mechanics; systems of many degrees of freedom; symmetry; rotational invariance and angular momentum; hydrogen atom.
Quantum Mechanics II Spin; addition of angular momenta; approximation methods in quantum mechanics; atoms and molecules; scattering theory; quantum theory of electromagnetic radiation.
Statistical Physics The laws of thermodynamics; applications of thermodynamics; basic probability concepts; elementary kinetic theory; classical microcanonical, canonical and grand canonical ensembles; classical ideal gas; equipartition of energy; quantum mechanical ensembles; ideal Fermi and Bose systems; black body radiation, phonons, the electron gas; magnetism; introductory nonequilibrium statistical physics.
Nuclear and Particle Physics Introduction to subatomic particles; properties of nuclei and nucleons; spin and magnetic moments; nuclear reactions; radioactivity; alpha and beta decays; nucleon interactions and nucleon scattering at low energies; nuclear models; elementary particles.
Numerical Methods in Physics Solutions to linear systems of equations; roots of polynomials and other nonlinear functions; statistical applications; determinants, eigenvalues, and eigenvectors, solutions to differential equations; applications of FFT; utilization of scientific software packages. (Emphasis will be placed on physical applications.)
Physical Electronics Laboratory Vacuum tubes; basic transistor circuits; power supplies and amplifiers; designing with operational amplifiers; computer aided design of simple circuits; digital and analog circuit applications; computer interfacing; experimenting with lock-in amplifier; plasma diagnostics; laser power measurement; optical fibers.
Quantum Mechanics Laboratory Field emission microscope; emission and absorption spectra; Balmer series of hydrogen; Zeeman effect; optical pumping; Frank-Hertz experiment; determination of Planck's constant; measurement of e/m; radioactive decay; scanning-tunneling microscopy.
Atomic and Molecular Physics Transition properties and the selection rules for atoms; many electron atoms; Born-Oppenheimer approximation; molecular structure; electronic, vibrational, and rotational energies of molecules; general methods for calculations; spectroscopic methods.
Condensed Matter Physics I Crystal diffraction; crystal binding; phonons and lattice vibrations; thermal, acoustic and optical properties; free electron model; energy bands, electron-phonon interactions; semiconductors; transport properties.
Condensed Matter Physics II Dielectric properties; diamagnetism and paramagnetism; ferromagnetism and anti-ferromagnetism; magnetic resonance; electron-phonon interactions; super-conductivity; optical properties; liquid metals.
Optical Properties of Solids Macroscopic theory; fundamental theory with emphasis on the relationship between electronic structure and optical properties of solids. Representative semiconductors, insulators and metals; impurities and defects in solids; surface and interface states; optical properties of quantum well structures; photoemission; luminescence.
Magnetic Properties of Solids Theory of magnetism; diamagnetic and paramagnetic behavior of solids; ferromagnetic, antiferromagnetic, and ferrimagnetic solids; magnetic properties under the alternating field.
Group Theory Abstract group theory; theory of group representations; physical applications of group theory; full rotation groups and angular momentum; applications in molecular and solid state physics.
Introduction to Many Body Theory Interacting systems; Green's function of the single particle, Schrodinger equation; second quantization; quasiparticles; many-body Green's functions; self-energy and perturbation series; diagrammatic methods; temperature-dependent Green's function.
Elementary Excitations in Solids Interacting electron gas; Plasmons; electron-hole interaction and excitons; phonons; spin waves and magnons; interaction processes; transport phenomena; virtual phonons and superconductivity; interaction with photons; thermal properties.
Methods in Computational Physics Advanced topics in numerical approach to scientific problems. This course will empasize student project work.
Methods of Experimental Physics Principles of experimentation; data collection and statistical analysis; chi-square test; least square fitting; basic electronic measurements: current, capacitance, frequency spectrum, vacuum and cryogenics; interferometric measurements; spectroscopic measurements: mass spectroscopy, electron, photon and neutron spectroscopies.
Semiconductor Device Physics Semiconductor theory and semiconductor properties; p-n junction diodes; metal-semi-conductor junctions; MOS capacitors; bipolar transistors; field-effect transistors; thin-film devices; photodetectors; laser diodes; heterostructures; quantum-well structures; solar cells.
Quantum Electronics Propagation of optical beams; optical resonators; interaction of radiation with matter; laser oscillations; specific laser systems; Q-switching and mode-locking; laser amplifiers; noise and modulation in lasers; non-linear optics.
Field Theory Classical field theory; canonical quantization; quantization of scalar, spinor and vector fields; interacting fields and perturbation theory; symmetries; Feynman graphs.
Theory of Relativity The concepts of space and time in classical mechanics; relativity principle of Galileo; special relativity; Lorentz transformations; introductory concepts in general relativity; experimental evidence for special and general relativity.
Elementary Particles Properties of elementary particles: spin, parity, hyperchange, etc.; interactions of elementary particles; group theory of subnuclear world, quark theory; experimental status of elementary particles.
Summer Project I A project on a specific topic in an area of physics to be carried out by the student under the supervision of a faculty member.
Summer Project II A project on a specific topic in an area of physics to be carried out by the student under the supervision of a faculty member.
Electromagnetic Theory I Electrostatics. Magnetostatics. Boundary-value problems. Time varying fields and Maxwell's equations. Plane electromagnetic waves. Wave guides and resonant cavities. Simple radiating systems and diffraction.
Electromagnetic Theory II Magnetohydrodynamics and plasma physics. Special theory of relativity. Relativistic particle kinematics and dynamics. Collisions. Radiation by moving charges. Bremsstrahlung. Radiative Beta-process. Multipole fields. Radiation damping. Self-fields of particles.
Advanced Quantum Mechanics I Basic principles of wave mechanics and Schrodinger Equation. Eigenvalues and eigenfunctions. Angular momentum. Matrix formulation of quantum mechanics. Symmetry in quantum mechanics. Approximation methods. Many particles system. Scattering theory.
Advanced Quantum Mechanics II Quantum theory of radiation. Relativistic wave equations. Covariant perturbation theory and applications. Introduction to field quantization.
Solid State Theory I Crystals. Group theory. One-electron approximation. Energy-band theory. Pseudopotential theory. Total energy and force calculations. Dynamics of electrons. Electron transport theory. Localization of electron states. Impurity states. Surfaces. Green's functions for defect states.
Solid State Theory II Lattice vibrations and phonons. Electron-phonon interactions. Collective excitations. Optical properties. Magnetic properties of solids. Superconductivity.
Advances in Condensed Matter Physics I Quantum theory of tunneling. Scanning tunneling microscopy. Scanning tunneling spectroscopy. Development of a formal theory for scanning tunneling electron microscopy. Tunneling in semiconductor superstructures. Applications in surface physics.
Advances in Condensed Matter Physics II Semiconductor heterostructures and quantum well structures. Theory of 2-D electron systems. Electronic energy structure of semiconductor superlattices. Phase transitions in semiconductor superlattices. Collective excitations in 2-D electron systems. Electronic and optical properties of semiconductor superlattices. Magnetoconductivity and Quantum Hall effect.
Physics of Semiconductor Devices I Review of semiconductor physics. Band theory. Effective mass approximation. Impurity states. Carrier statistics and mobility. Crystal growth. Diffusion. Oxidation. Semiconductors under equilibrium and nonequilibrium conditions. The p-n homojunctions, p-n heterojunctions. Junction transistors.
Physics of Semiconductor Devices II Schottky Barrier formation. Metal-semiconductor, metal-insulator-semiconductor surface field-effect transistor. Integrated circuit technology. Opto-electronic devices. Review of MBE and MOCVD techniques. Epitaxial semiconductor superlattices. Strained (pseudomorphic) superlattices. Band-lineup and quantum well states. New electronic devices based on the semiconductor superlattices.
Analytical Mechanics Constraints. Principle of least action and Lagrange equations. Symmetry and conservation laws. Hamilton equations of motion. Canonical transformations Hamilton-Jacobi theory. Small oscillations. Mechanics of continuous media.
Statistical Mechanics Distribution functions; the concept of entropy, the H-function; classical statistical mechanics; ensembles; partition functions. The equipartition theorem. Quantum statistical mechanics: partition function, Fermi-Dirac and Bose-Einstein distributions.
Methods of Mathematical Physics Sturm-Liouville theory. Special functions: Gamma functions; Bessel functions; Legendre polynomials; integral transforms; integral equations; calculus of variations.
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