PHYS
2023-2024
PHYS 5254G
Advanced Quantum Info Tech
Quantum computing and other quantum information technologies. Differences between bit and qubit. Quantum logic gates, concept of entanglement, quantum teleportation, quantum cryptography and key distribution, quantum computing algorithms, including Deutsch-Jozsa algorithm, Grover’s search algorithm, Shor’s factoring algorithm. Basics of public-key cryptosystems and number theory as needed to present Shor’s algorithm. Errors in a quantum computer and quantum error correction. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5264G
Advanced Quantum Optics and Qubit Processors
Quantum optics and quantum bit (qubit) platforms for quantum technology applications. Qubit as physical system, quantum unitary evolution as quantum gate, quantum control using electromagnetic fields, Rabi oscillations, adiabatic theorem, density matrix, Liouville-von Neumann equation, decay and decoherence (T1 and T2), spin echo, Ramsey interferometry, coherent population trapping, entanglement, dynamical maps, electromagnetic field quantization, Jaynes-Cummings Hamiltonian, spontaneous emission, solid-state qubit platforms (spin qubits, superconducting qubits), atomic qubit platforms (trapped ions), color-centers in solids. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5354
Classical Mechanics
Theory of classical Lagrangian and Hamiltonian mechanics of particles and rigid bodies, including canonical transformations and Hamilton-Jacobi theory. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5405
Classical Electromagnetism
Classical theory of electromagnetism and its applications. 5405: Electrostatics and magnetostatics; Maxwells equations and electromagnetic waves; wave guides, apertures, and antennae. 5406: Special relativity and Lagrangian and Hamiltonian formulations; Lienard-Wiechert potentials, motion, radiation, and energy loss be charged particles; self-fields and radiative damping; magnetic monopoles and field theories. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5714
PHYS 5406
Classical Electromagnetism
Classical theory of electromagnetism and its applications. 5405: Electrostatics and magnetostatics; Maxwells equations and electromagnetic waves; wave guides, apertures, and antennae. 5406: Special relativity and Lagrangian and Hamiltonian formulations; Lienard-Wiechert potentials, motion, radiation, and energy loss be charged particles; self-fields and radiative damping; magnetic monopoles and field theories. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5405
PHYS 5714
PHYS 5455
Quantum Mechanics
General principles of nonrelativistic quantum mechanics from the point of view of advanced dynamics, with applications to problems of atomic and nuclear structure. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5456
Quantum Mechanics
General principles of nonrelativistic quantum mechanics from the point of view of advanced dynamics, with applications to problems of atomic and nuclear structure. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5455
PHYS 5464
Introduction to Quantum Field Theory
Quantum mechanics in the Schrodinger, Heisenberg, and Interaction pictures. Application of quantum mechanics to a lattice of interacting harmonic oscillators. The zero-lattice-spacing and infinite-space limits of the harmonic oscillator lattice. Quantization of bosonic and fermionic fields. Quantization of scalar, spinor, and vector fields. Gauge theories. Spontaneous symmetry breaking, Goldstone bosons, and the Higgs mechanism. Applications to particle physics and condensed matter physics. Calculation of cross sections and decay rates at the tree level.
Graduate
Lecture, Online Lecture
3
3
PHYS 5354, PHYS 5406, PHYS 5456
PHYS 5514G
Advanced Introduction to Nuclear Physics
Nuclear properties and nuclear interactions. Nuclear reactions and radioactive decays, including alpha, beta and gamma decays. Theoretical models of the nucleus and their interpretations. Experimental methods in nuclear physics. Applications, including nuclear power production. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5524G
Advanced Introduction to Particle Physics
Relativistic kinematics. Particle interaction amplitudes and cross sections. Particle types including quarks, hadrons, leptons and bosons. Experimental methods in particle physics. Symmetries. The quark model. Weak interactions and electroweak unification. Particle physics beyond the Standard Model. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5534G
Advanced Quantitative Analysis of Physics Experiments
Statistical analysis of physics experiments. Probabilistic elements in experiments. Data analysis frameworks in physics subfields. Maximum likelihood estimation and Bayesian techniques. Physical principles and nuisance parameters. Analysis strategies and computational methods. Graphical data representation. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5555
Solid-State Physics
Solidity, crystal structure, k-space, quantum mechanics of covalent bonding, phonon excitations, thermal energy, the nearly-free-electron approximation, Bloch electrons, E(k) energy bands in semiconductors and metals, density of states, optical properties of solids, donors and acceptors in semiconductors, excitons, plasmons, polaritons, electrical properties, magnetic materials, the percolation model and phase transitions, metal-insulator transitions, and amorphous solids. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5556
Solid-State Physics
Solidity, crystal structure, k-space, quantum mechanics of covalent bonding, phonon excitations, thermal energy, the nearly-free-electron approximation, Bloch electrons, E(k) energy bands in semiconductors and metals, density of states, optical properties of solids, donors and acceptors in semiconductors, excitons, plasmons, polaritons, electrical properties, magnetic materials, the percolation model and phase transitions, metal-insulator transitions, and amorphous solids. Consent required. I,II
Graduate
Lecture, Online Lecture
3
3
PHYS 5564G
Advanced Polymer Physics
Introduction to the field of polymer physics. Statistical descriptions of polymers based on Brownian motion and random walk models. Conformation of single chains. Thermodynamics of polymer mixtures, solutions, and melts. Properties of polymer networks. Polymer dynamics in both melt and solution states. Pre: Graduate Standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5574G
Intermediate Nanotechnology
Methods of controlling matter on the nanometer length scale and the applications thereof. Nanolithography, self-assembly, and scanned probe microscopy; nanomaterials including fullerenes, carbon nanotubes, and quantum dots; nanoscale and molecular electronics; nanoelectromechanical systems; nanoscale optoelectronics; and nanobiotechnology. Graduate standing required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5614G
Intermediate Optics
Fundamentals of the ray, wave and quantum models of light, and topics in modern optics with contemporary applications. Graduate standing required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5634G
Advanced Modern Classical Physics
Geometric formulation of classical physics. Applications in relativity, optics, elasticity, fluid mechanics, plasma physics. Real-world examples from fundamental, experimental, and applied physics. Quantum roots of and quantum techniques in classical physics. Geometrical connections between classical mechanics, optics, and quantum physics. Problems in and connections between elasticity, fluid dynamics, magnetohydrodynamics, and plasma physics. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5654G
Advanced Modern Cosmology
Survey of our current understanding of the origin, evolution, and fate of the Universe. Observational evidence behind the idea of the hot Big Bang, including the linear velocity-distance law, the existence of the cosmic microwave background, and the arguments for dark matter. Physics of a dynamic, expanding Universe via the Friedmann-Lemaitre-Robertson-Walker metric. Physical principles to determine the conditions in the early Universe, introducing the idea of inflation. Mechanisms driving the origin and evolution of galaxies and large-scale structures. Pre: Graduate standing
Graduate
Lecture, Online Lecture
3
3
PHYS 5664G
Advanced Astroparticle Physics
Observations of high-energy photons, cosmic rays, and neutrinos. Energy-loss interactions in astrophysical environments. Propagation of cosmic particles and ultra-high energy cosmic rays. Origins of cosmic rays. Astrophysical neutrinos and neutrino oscillations. Stellar evolution and evolution into supernova explosions. Mechanisms of astrophysical particle acceleration. Multi-messenger astronomy. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5674G
Intermediate General Relativity
Methods and applications of Einsteins general theory of relativity. Space and time and gravity in Newtonian physics; special theory of relativity; gravity as geometry of curved spacetime; black holes; cosmology; Einsteins gravitational field equations; gravitational waves and relativistic stars. Graduate standing required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5705
Statistical Mechanics
Theory of classical and quantum statistical mechanics. Derivation of thermodynamics. 5705: ensembles, fluctuations and ideal gas systems. 5706: modern developments and advanced topics.
Graduate
Lecture, Online Lecture
3
3
, PHYS 5456
PHYS 5706
Statistical Mechanics
Theory of classical and quantum statistical mechanics. Derivation of thermodynamics. 5705: ensembles, fluctuations and ideal gas systems. 5706: modern developments and advanced topics.
Graduate
Lecture, Online Lecture
3
3
PHYS 5456, PHYS 5705
PHYS 5714
Methods of Theoretical Physics
Selected topics in mathematical physics. Review of analytic function theory. Matrices, spectral theory of operators in Hilbert Space with applications to quantum mechanics. Solution of partial differential equations of mathematical physics, boundary-value problems, and special functions. Distribution theory and Greens functions. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5714G
Biophysics
Selected topics from the general area of biomechanics, bioelectricity, radiation biophysics, molecular biophysics, and thermodynamics and transport in biological systems. Emphasis on the physical aspects of biological phenomena and biophysical measurement techniques and instrumentation. Graduate standing required.
Graduate
Lecture, Online Lecture
3
3
PHYS 5724G
Advanced Soft Matter Physics
Physical characteristics of various soft matter systems including liquids, liquid crystals, polymers, colloids, surfactants, granular materials, and biological soft materials. Van der Waals and electrostatic interactions in the context of soft matter. Descriptions of soft matter phases, phase diagrams, phase separation, and phase transitions. Theories of self-assembly and self-organization. Problems in and connections between elasticity, viscoelasticity, and mechanics of fluids including capillarity and wetting. Model of random walk and its applications to colloidal systems. Applications of variational methods in soft matter. Computer simulation methods in soft matter. Pre: Graduate standing.
Graduate
Lecture, Online Lecture
3
3
PHYS 5725
Group Theory and its Applications in Physics
Symmetries and groups (both finite and continuous) and their applications to problems in physics. 5725: Discrete symmetries and finite groups. Important concepts and theorems in group theory. Application of group theory to the theory of algebraic equations. Construction of irreducible representations of finite groups, with emphasis on those for the symmetric group. Application of finite group theory to various problems in physics.
5726: Continuous symmetries and Lie groups. Relation between Lie groups and Lie algebras. Structure of Lie algebras and their classifications using Dynkin diagrams. Construction of irreducible representations of Lie algebras, with emphasis on those of the Lie algebra su(N). Application of Lie group/Lie algebra theory to various problems in physics.
Graduate
Lecture, Online Lecture
3
3
PHYS 5354, PHYS 5456
PHYS 5726
Group Theory and its Applications in Physics
Symmetries and groups (both finite and continuous) and their applications to problems in physics. 5725: Discrete symmetries and finite groups. Important concepts and theorems in group theory. Application of group theory to the theory of algebraic equations. Construction of irreducible representations of finite groups, with emphasis on those for the symmetric group. Application of finite group theory to various problems in physics.
5726: Continuous symmetries and Lie groups. Relation between Lie groups and Lie algebras. Structure of Lie algebras and their classifications using Dynkin diagrams. Construction of irreducible representations of Lie algebras, with emphasis on those of the Lie algebra su(N). Application of Lie group/Lie algebra theory to various problems in physics.
Graduate
Lecture, Online Lecture
3
3
PHYS 5406, PHYS 5725
PHYS 5794
Computational Physics
Survey of computational methods in physics. Applications of Fourier analysis, curve fitting, solving differential equations, solving integral equations, Monte Carlo simulations, symbolic mathematics, and graphic simulations in mechanics, electromagnetism, nuclear physics, atomic physics, molecular physics, and condensed matter physics.
Graduate
Lecture, Online Lecture
3
3
PHYS 4455
PHYS 5894
Final Examination
Graduate
Lecture, Online Lecture
3
3
PHYS 5904
Project and Report
Graduate
Research
1 TO 19
PHYS 5944
Seminar
May be repeated one time with different content for a maximum of 2 credits.
Graduate
Lecture, Online Lecture
1
1
PHYS 5974
Independent Study
Graduate
Independent Study
1 TO 19
1 TO 19
PHYS 5984
Special Study
Graduate
Lecture, Online Lecture
1 TO 19
1 TO 19
PHYS 5994
Research and Thesis
Graduate
Research
1 TO 19
PHYS 6455
Advanced Quantum Theory
Classical field theory; Noethers theorem and symmetries; second quantization and many-body formalism; free quantum Klein-Gordon, Dirac, and Maxwell fields; and interacting fields, S-matrix and covariant perturbation theory. Feynman diagrams; quantum electrodynamics; renormalization; path-integral formulation; non-Abelian gauge theories; and elements of electro-weak theory.
Graduate
Lecture, Online Lecture
3
3
PHYS 5354, PHYS 5406, PHYS 5456
PHYS 6456
Advanced Quantum Theory
Classical field theory; Noethers theorem and symmetries; second quantization and many-body formalism; free quantum Klein-Gordon, Dirac, and Maxwell fields; and interacting fields, S-matrix and covariant perturbation theory. Feynman diagrams; quantum electrodynamics; renormalization; path-integral formulation; non-Abelian guage theories; and elements of electro-weak theory.
Graduate
Lecture, Online Lecture
3
3
PHYS 5354, PHYS 5406, PHYS 5456, PHYS 6455
PHYS 6555
Advanced Solid-State Physics
Applications of field-theory techniques to many-body aspects of solid-state physics. 6555: Green functions, Feynman diagrams, lattice Hamiltonian, neutron scattering, electron gas, Fermi-liquid theory, and linear-response theory. 6556: Electron-phonon interaction in metals and semiconductors, polarons, optical properties, excitons, superconductivity, and excitations in magnetic materials.
Graduate
Lecture, Online Lecture
3
3
PHYS 5456, PHYS 5555
PHYS 6725
Elementary Particle Physics
Symmetry principles, quark model, scattering-theory and particle-theory processes, weak interactions, quantum chromodynamics, spontaneous symmetry breaking, and unified field theories. Consent required.
Graduate
Lecture, Online Lecture
3
3
PHYS 6455, PHYS 6456
PHYS 6726
Elementary Particle Physics
Symmetry principles, quark model, scattering-theory and particle-theory processes, weak interactions, quantum chromodynamics, spontaneous symmetry breaking, and unified field theories. Consent required. I,II
Graduate
Lecture, Online Lecture
3
3
PHYS 6725
PHYS 6455, PHYS 6456
PHYS 6984
Special Study
Graduate
Lecture, Online Lecture
1 TO 19
1 TO 19
PHYS 7994
Research and Dissertation
Graduate
Research
1 TO 19