#### Core Courses

**PHYS-501: Classical Mechanics**

Basic theory, Lagrange equations, canonical transformations, Hamiltonian formalism, two-body systems, rigid body motion, and special theory of relativity.

**PHYS-502: Mathematical Physics**

Vectors and matrices, differential equations, special functions, Green's functions, perturbation theory, calculus of variations, tensor analysis, and complex variables.

**PHYS-503: Classical Electromagnetic Theory I**

Electrostatic and magnetostatic fields, multipoles, electromagnetic fields, and Maxwell's equations.

**PHYS-504: Classical Electromagnetic Theory II**

Electromagnetic waves, diffraction and refraction, relativistic particle dynamics in electromagnetic fields, electromagnetic radiation from moving particles.

**PHYS-505: Quantum Mechanics I**

Duality, uncertainty principle, Schrödinger equation, one-dimensional problems, eigenvalue problems, central force fields, potential scattering, and matrix formalism.

**PHYS-506: Quantum Mechanics II**

Perturbation theory, approximations, angular momentum, identical particles, atoms and molecules, radiation, Dirac equation, and second quantization.

**PHYS-508: Experimental Physics**

Radiation measurement, X-ray diffraction, magnetic-field measurement, vacuum technology, spectroscopy, and NMR.

**PHYS-509: Special Lectures in Modern Physics**

Special topics in modern physics.

**PHYS-510: Writing Physics Papers**

How to write physics papers.

#### Major Courses

**PHYS-552: Relativistic Quantum Mechanics**

Relativistic covariance, Klein-Gordon and Dirac equations, Quantum Electrodynamics, Lamb shift, and covariant perturbation theory.

**PHYS-601: Elementary Particles I**

Radioactivity, elementary particle detectors, various interactions, Dirac equation, and high-energy physics.

**PHYS-602: Elementary Particles II**

Radioactivity, elementary particle detectors, various interactions, Dirac equation, and high-energy physics.

**PHYS-603: Special Topics in High-Energy Physics**

Modern high energy physics experiments, instrumentations, and online system detectors.

**PHYS-604: Special Topics in Elementary Particle Physics**

Fundamental particles, fundamental interactions, theory of strong interactions, theory of weak interactions, and quantum theory of electromagnetism.

**PHYS-605: Advanced Computational Physics**

Advanced computational techniques using Mathematica, Maple, and Reduce.

**PHYS-606: Special Topics in Nuclear and Particle Physics I**

Experimental methods for nuclear and particle physics, theoretical models, and recent progress in the field.

**PHYS-607: Special Topics in Nuclear and Particle Physics II**

Experimental methods for nuclear and particle physics, theoretical models, and recent progress in the field.

**PHYS-611: Nuclear Physics I**

Composition and size of atomic nuclei, stability of nuclei, electric and magnetic moments of nuclei, radioactive decay and transformations, models of nuclei and nuclear forces.

**PHYS-612: Nuclear Physics II**

Theory and experiment on radioactive decay, theory and experiment on nuclear reactions, atomic force, nuclear fusion, and elementary particles.

**PHYS-613: Nuclear Spectroscopy**

Stability of nuclei, effects of symmetry, pair interactions, energy levels and quantum numbers, classification of the low-energy states, and angular momentum.

**PHYS-614: Theory of Nuclear Structure**

Stability of nuclei, effects of symmetry, pair interactions, energy levels and quantum numbers, classification of the low-energy states, and angular momentum.

**PHYS-615: General Theory of Relativity**

Tensor algebra, field equations, experimental evidence, gravitation theory, relativistic universe, and grand unification theory.

**PHYS-621: Solid State Physics I**

Crystal lattice structures, crystal formation, phonons, free electron gas, energy bands, semiconductors, metals, Fermi surface, and polaritons.

**PHYS-622: Solid State Physics II**

Optical properties of solids, superconductivity, conductors, paramagnetic and ferromagnetic materials, NMR, glasses, and defects and grain boundaries of crystals (prerequisite: PHYS-621).

**PHYS-623: Theoretical Solid State Physics**

Phonons, many-body theory, transport phenomena, phonon-phonon interactions, electron-photon interactions, electron-electron interactions, magnetic materials and spin waves, and applications of Green's functions (prerequisite: PHYS-622).

**PHYS-624: Group Theory for Solid State Applications**

Definition of groups, representations, usage in quantum mechanics, and applications in condensed matter (prerequisite: PHYS-621).

**PHYS-625: Crystallography**

Crystal structures, reciprocal lattice, stereogram, X-ray diffraction experiments, Laue patterns, powder, and applications in precision cameras (prerequisite: PHYS-621).

**PHYS-626: Solid State Spectroscopy**

Theories and experiments on NMR, NQR, EPR spectroscopy, and theories on the shift and broadening of resonance lines (prerequisite: PHYS-621).

**PHYS-631: Quantum Optics I**

Theory and experiments on lasers.

**PHYS-632: Quantum Optics II**

Quantum mechanics of light, nonlinear optics, and the theory of scattering (prerequisite: PHYS-635).

**PHYS-633: Material Physics I**

Applied physics, in particular, theory and application of magnetism.

**PHYS-634: Material Physics II**

Properties of non-crystalline materials.

**PHYS-635: Applied Optics I**

Geometrical optics, spectroscopy, and light scattering.

**PHYS-636: Applied Optics II**

Raman scattering, Brillouin spectroscopy, high-resolution spectroscopy, and femtosecond spectroscopy.

**PHYS-641: Statistical Physics I**

Thermodynamic laws and applications, ideal gas law, Boltzmann theory, transport, ensemble theory, phase transitions, and critical phenomena.

**PHYS-642: Statistical Physics II**

Quantum statistics and partition functions, ideal fermi and bose gases, quantum fluids and their applications (prerequisite: PHYS-641).

**PHYS-643: Many Body Theory I**

Reviews on quantum statistics and advanced theories on Fermion systems.

**PHYS-644: Many Body Theory II**

Reviews on quantum statistics and advanced theories on Bosonic systems.

**PHYS-645: Stochastic Processes in Physics I**

Mathematical backgrounds, random flight, Markoff's process, Langevin equations, and the Fokker-Planck equation (prerequisite: PHYS-641).

**PHYS-646: Stochastic Processes in Physics II**

Probability after-effects, colloid statistics, theory of coagulation, sedimentation, fluctuations, and stellar dynamics (prerequisite: PHYS-641).

**PHYS-651: Nonlinear Dynamics and Chaos I**

Nonlinear differential equations, maps, linear stability theory, attractors and repellers, bifurcation and normal-form theory, phenomena of deterministic chaos, routes to chaos, and fractals.

**PHYS-652: Nonlinear Dynamics and Chaos II**

Characterization of chaotic systems, functional renormalization theory, nonlinear time-series analysis, chaos in Hamiltonian dynamics, KAM theorem and anomalous diffusion, synchronization and spatio-temporal chaos.

**PHYS-653: Instabilities in Non-Equilibrium Systems**

Various patterning forming mechanisms in physical, chemical, and biological systems (Faraday instability, Rayleigh-Bernard instability, Marangoni instability, Taylor-Coutte instability, Helmholtz instability, Turing instability, excitable dynamics, front stability, etc).

**PHYS-661: Biophysics I**

Physical analysis and modeling of various bio-physical phenomena, excitable media and reaction diffusion systems, morphogenic developmental processes of biological forms, physics of neurons and neural networks, nonlinear time-series analysis and statistical analysis on various biological time series.

**PHYS-662: Biophysics II**

Molecular motors, DNA-chips and Neuro-chips, confocal and multi-photon laser scanning microscopy, optical tweezers, biomicrofluidics, protein folding, and gene network dynamics.

**PHYS-701: Quantum Field Theory I**

Lorentz group, Klein-Gordon equation, Dirac equation, and second quantization (prerequisite: PHYS-601).

**PHYS-702: Quantum Field Theory II**

Mutually interacting fields, scattering theory, S-matrix description, Feynman diagrams, renormalization theory, and axiomatic formulation (prerequisite: PHYS-701).

**PHYS-703: Special Topics in Detector Theory**

Properties of high-energy detectors, capabilities, mechanisms, and applications (prerequisite: PHYS-611).

**PHYS-704: Special Topics in Quantum Field Theory**

Gauge theory, standard model, quantum electromagnetism, and special topics in quantum field theory (prerequisite: PHYS-611).

**PHYS-711: Special Topics in Nuclear Physics**

Up to date topics in nuclear physics (prerequisite: PHYS-611).

**PHYS-712: Special Topics in Nuclear Physics Experiments**

Up to date topics in nuclear physics experiments (prerequisite: PHYS-611).

**PHYS-713: Theory of Collision**

Basic physics of collision and scattering, scattering in central force fields, non-relativistic collisions, elastic and inelastic collisions, and relativistic collisions (prerequisite: PHYS-611).

**PHYS-714: Heavy Nuclear Collision Physics**

Properties of nuclear matter and hadrons in hot, dense environments and their relation to the early universe (prerequisite: PHYS-611).

**PHYS-721: Special Topics in Solid State Physics I**

Up to date topics in solid state physics (prerequisite: PHYS-621).

**PHYS-722: Special Topics in Solid State Physics II**

The second part of PHYS-721.

**PHYS-723: Advanced Solid State Physics II**

Similar to PHYS-721 and 722, but more advanced topics are discussed.

**PHYS-724: Advanced Solid State Physics II**

The second part of PHSY-723.

**PHYS-725: Electrical Transport and Experiment I**

Mesoscopic electrical transport theory and experiment.

**PHYS-726: Electrical Transport and Experiment II**

The second part of PHSY-725.

**PHYS-727: Highlights in Fusion Research**

Deep review on nanoscale science and technologies with NT, NtT+IT, NT+BT, etc (prerequisite: PHYS-621).

**PHYS-728: Special Topics in Nano Physics I**

Experimental methods for nano physics, theoretical models, and recent progress in the field.

**PHYS-729: Special Topics in Nano Physics II**

Experimental methods for nano physics, theoretical models, and recent progress in the field.

**PHYS-731: Special Topics in Applied Physics I**

Applications in physics related areas, plasma dynamics, vacuum, ion beams, and measurements.

**PHYS-732: Special Topics in Applied Physics II**

Second part of PHYS-731.

**PHYS-733: Nonlinear Optics I**

2nd and 3rd-order nonlinear optics, phase conjugation, stimulated Brillouin scattering, and stimulated Raman scattering.

**PHYS-734: Nonlinear Optics II**

Second half of PHYS-733.

**PHYS-735: Atomic Spectroscopy I**

Spectroscopy of atoms using lasers, cooling, and trapping of atoms.

**PHYS-736: Atomic Spectroscopy II**

Second half of PHYS-735.

**PHYS-737: Special Topics in Interdisciplinary Science I**

Experimental methods for interdisciplinary science, theoretical models, and recent progress in the field.

**PHYS-738: Special Topics in Interdisciplinary Science II**

Experimental methods for interdisciplinary science, theoretical models, and recent progress in the field.

**PHYS-741: Special Topics in Equilibrium Statistical Physics I**

Brownian motion, random walk, liquid helium, Ising model solution, phase transitions, and critical phenomena.

**PHYS-742: Special Topics in Equilibrium Statistical Physics II**

Second half of PHYS-741.

**PHYS-743: Special Topics in Non-Equilibrium Statistical Physics I**

Kinetic equation and hydrodynamics, transport coefficients, and dynamics of correlations (prerequisite: PHYS-642).

**PHYS-744: Special Topics in Non-Equilibrium Statistical Physics II**

Dynamics and sub-dynamics of ideal systems and interacting systems, and dynamics and correlations (prerequisite: PHYS-743).

**PHYS-745: Research in Statistical Physics I**

Independent study on current topics in statistical physics.

**PHYS-746: Research in Statistical Physics II**

Second half of PHYS-745.

**PHYS-747: Special Topics in Bio and Statistical Physics I**

Experimental methods for bio and statistical physics, theoretical models, and recent progress in the field.

**PHYS-748: Special Topics in Bio and Statistical Physics II**

Experimental methods for bio and statistical physics, theoretical models, and recent progress in the field.

**PHYS-751: Special Topics in Nonlinear Dynamics I**

Independent study on current topics in nonlinear dynamics and non-equilibrium pattern formation.

**PHYS-752: Special Topics in Nonlinear Dynamics II**

Second half of PHYS-751.

**PHYS-761: Special Topics in Biophysics I**

Review and discussions on up-to-date topics in biophysics.

**PHYS-762: Special Topics in Biophysics II**

Second half of PHYS-761.

**PHYS-763: Special Topics in Molecular Biophysics I**

Recent progress in molecular biophysics.

**PHYS-764: Special Topics in Molecular Biophysics II**

Second half of PHYS-7613.

**PHYS-771: Optical Properties of Semiconductors**

Semiconductor band theory, optical experiments, quantum effects in semiconductor heterostructures, and semiconductor devices (prerequisite: PHYS-621, 622).

**PHYS-772: Semiconductor Nanostructures**

III-V, II-VI, compound semiconductors, semiconductor quantum wells, superlattice structures, quantum effects in semiconductor heterostructures, and semiconductor devices (prerequisite: PHYS-621, 622).

**PHYS-773: Research in Spintronics**

Lecture and discussion on the spin related phenomena in magnetic material, semiconductor, and optics.

**PHYS-801: Research in High Energy Physics**

Research topics for thesis work in high energy physics.

**PHYS-802: Research in Elementary Particle Physics**

Research topics for thesis work in elementary particle physics.

**PHYS-811: Research in Nuclear Physics I**

Research topics for thesis work in nuclear physics.

**PHYS-812: Research in Nuclear Physics II**

Research topics for thesis work in nuclear physics.

**PHYS-821: Research in Solid State Physics I**

Research topics for thesis work in solid state physics.

**PHYS-822: Research in Solid State Physics II**

Research topics for thesis work in solid state physics.

**PHYS-831: Research in Applied Physics I**

Research topics for thesis work in applied physics.

**PHYS-832: Research in Material Physics**

Research topics for thesis work in material physics.

**PHYS-841: Research in Quantum Optics I**

Research topics for thesis work in quantum optics.

**PHYS-842: Research in Quantum Optics II**

Research topics for thesis work in quantum optics.

**PHYS-843: Research in Nano Optics I**

Research topics for thesis work in nano optics.

**PHYS-844: Research in Nano Optics II**

Research topics for thesis work in nano optics.

**PHYS-845: Special Topics in Atomic Physics I**

Theory of atomic structure, spectroscopic techniques using lasers, introduction to precision measurements, and thesis research.

**PHYS-846: Special Topics in Atomic Physics II**

The second part of PHYS-845.

**PHYS-847: Special Topics in Atomic and Opticall Physics I**

Experimental methods for atomic and optical physics, theoretical models, and recent progress in the field.

**PHYS-848: Special Topics in Atomic and Opticall Physics II**

Experimental methods for atomic and optical physics, theoretical models, and recent progress in the field.

**PHYS-851: Special Topics in Advanced Physics I**

Introduction to on-going research topics.

**PHYS-852: Special Topics in Advanced Physics II**

Introduction to on-going research topics.

**PHYS-853: Seminars in Advanced Physics I**

Seminars on up-to-date research topics.

**PHYS-854: Seminars in Advanced Physics II**

Seminars on up-to-date research topics.

**PHYS-861: Research in Nonlinear Optics**

Research topics for thesis work in nonlinear optics.

**PHYS-862: Bioimaging I**

Introduction of general-purpose bioimaging techniques such as confocal microscopy, nonlinear optical microscopy, phase contrast microscopy, differential interference contrast microscopy and optical coherence tomography. Construction of imaging systems, and their biological and biomedical applications.

**PHYS-863: Bioimaging II**

Principles and applications of advanced imaging methods such as super-resolution microscopy, 3D phase microscopy, digital holographic microscopy, endoscopy and X-ray tomography.