Courses
PHYS 525
Survey of the properties and applications of photonic materials and devices; semiconductors; photon detectors, light emitting diodes, noise in light detection systems; light propagation in anisotropic media, Pockels and Kerr effects, light modulators, electromagnetic wave propagation in dielectric waveguides, waveguide dispersion; nonlinear optical materials, second harmonic generation, Raman converters.
PHYS 522
Quantized atomic models. Spectroscopy. Light-atom interactions. Radiative transitions. Atom-atom interactions. Magnetic interactions of atoms. Molecular structure. Multi-electron systems. Trapping ions or atoms. Atom optics. Bose-Einstein condensation. Atomic chips. Quantum computation by matter waves and trapped ions.
PHYS 519
Invariances of the Schrödinger equation. Conservation laws and spectrum degeneracies. Parity and time-reversal symmetries. Translation symmetries on lattices. Crystallographic space groups. SO(3) rotation group. Unitary transformations. Symmetries in nuclear and elementary particle physics. SU(2) and isospin. SU(3) and strangeness.
PHYS 516
Basic differential geometric concepts. Space-time metric and connection. Curvature and torsion tensors. Einstein field equations. Gravitational waves. Black holes. Big bang cosmologies.
PHYS 513
Linear algebra: Vector and inner product spaces, linear operators, eigenvalue problems; Vector calculus: Review of differential and integral calculus, divergence and Stokes' theorems. Ordinary differential equations: Linear equations, Sturm-Liouville theory and orthogonal functions, system of linear equations; Methods of mathematics for science and engineering students.
PHYS 523
Quantum theory of light. Coherent light. Non-classical states of light. Quantum interferometry. Quantum measurements. Interaction of light with matter. Cavity quantum electrodynamics. Quantum entanglement and quantum teleportation. Non-linear optics. Photonic band gaps. Quantum information theory and the fundamental principles of quantum computation.
PHYS 520
Optical micro-cavities. Fabry-Perot cavity. Quality factor. Finesse. Free-spectral bands. Whispering gallery modes. Coupling. Photonic molecules, glasses, crystals and meta-materials. Optical micro-cavities. Fabry-Perot cavity. Quality factor. Finesse. Free-spectral bands. Whispering gallery modes. Coupling. Photonic molecules, glasses, crystals and meta-materials.
PHYS 517
Quantization of free fields. Propagators. Interacting fields and the S-matrix. Loop expansion of the S-matrix and Feynman diagrams. Path integral techniques. QED. Radiative corrections. Renormalization. Effective field theories.
PHYS 514
Computational modeling of scientific problems and implementation of the numerical methods. Dynamical systems based on ordinary differential equations, nonlinear dynamics and chaos, potentials and fields, random systems, statistical mechanics, phase transitions, molecular dynamics, computational quantum mechanics, interdisciplinary topics such as protein folding, self-organized criticality, genetic algorithms.
PHYS 509
Free electron theory of metals. Crystal lattices. Reciprocal lattice. Classification of Bravais lattices. X-ray diffraction and the determination of crystal structures. Electrons in a periodic potential. Tight binding method. Band structures. Semi-classical theory of conduction in metals. Fermi surface. Surface effects.
PHYS 524
Principles of optical microscopes. Microscopy methods. Photo-physics of dye molecules. Exciting fluorescence and its observation. Dipole radiation near planar interfaces. Photon-counting analysis. Flourescence correlation spectroscopy. Flourescence resonance energy transfer (FRET). Optical spectroscopy at low temperatures. Semiconducting nano-crystals. Metallic nano-particles.
PHYS 521
Review of electromagnetism; geometrical optics, analysis of optical systems; wave properties of light, Gaussian beams, beam optics; interaction of light with matter, spontaneous and stimulated emission, optical amplification, theory and applications of lasers, optical interactions in semiconductors, light emitting diodes and diode lasers; detectors, noise in detection systems; light propagation in anisotropic crystals, Pockels and Kerr effect, light modulators; nonlinear optics, second harmonic generation, phase matching, nonlinear optical materials.
PHYS 518
Introduction to non-Abelian gauge field theories. QCD. Spontaneous symmetry breakdown and mass generation. Standard model of electroweak interactions. Non-perturbative effects. Supersymmetry.
PHYS 515
Lorentz transformations and Minkowski space-time. Tensors and spinors. Variational formulation of relativistic wave equations. Noether theorem: Symmetries and conservation laws.
PHYS 510
Classification of solids. Theory of harmonic crystals. Phonons and phonon dispersion relations. Anharmonic effects in crystals. Phonons in metals. Dielectric properties of insulators. Semiconductors. Diamagnetism and paramagnetism. Electron interactions and magnetic structure. Magnetic ordering. Superconductivity.
