Physics

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  • CAS PY 402: Senior Independent Work
    Undergraduate Prerequisites: approval of CAS Honors Committee.
  • CAS PY 405: Electromagnetic Fields and Waves I
    Undergraduate Prerequisites: CAS PY 355; or consent of instructor.
    Vector analysis; Gauss's law; electric field intensity; energy and potential; conductors, dielectrics, and capacitance; Poisson's and Laplace's equations; steady magnetic fields;
  • CAS PY 406: Electromagnetic Fields and Waves II
    Undergraduate Prerequisites: CAS PY 405; or consent of instructor.
    Maxwell's equations; electromagnetic waves in vacuum and matter; reflection and refraction; diffraction and interference; coherence; special theory of relativity.
  • CAS PY 408: Intermediate Mechanics
    Undergraduate Prerequisites: CAS PY 355.
    Dynamics of particles and rigid bodies. Newtonian mechanics. Oscillatory motion and motion under a central force. Lagrangian and Hamiltonian dynamics. Coupled oscillations, normal modes, and continuum mechanics. Longitudinal and transverse mechanical waves.
  • CAS PY 410: Statistical Thermodynamics
    Undergraduate Prerequisites: CAS PY 355 or CAS PY 351; (or CASPY313), or consent of instructor.
    The laws of themodynamics, statistical basis of thermodynamics, ensemble theory, equilibrium statistical mechanics and its application to physical systems of interest, irreversibility, transport, and the approach to equilibrium.
  • CAS PY 421: Introduction to Computational Physics
    Undergraduate Prerequisites: CAS PY 351; or consent of instructor.
    Undergraduate-level introduction to computer programming and methods used to formulate and solve physics problems on the computer. Also touches on more advanced topics such as parallel computing and graphical visualization.
  • CAS PY 451: Quantum Physics 1
    Undergraduate Prerequisites: CAS PY 313; OR (CASPY351 AND CASPY313); or consent of instructor.
    Uncertainty principle; Schrödinger wave equation and applications; operators; hermitian operators and unitary transformations; harmonic oscillator; angular momentum and spin; hydrogen atom.
  • CAS PY 482: Undergraduate Physics Seminar
    Intended primarily for upper-level physics students but open to others with consent of the instructor. In-depth examination at an undergraduate level of an area of current physics research. Topics cover areas of contemporary interest and vary from year to year; possible areas include general relativity, particle physics, biophysics, and superconductivity. (CAS PY 482 may be taken multiple times for credit.)
  • CAS PY 491: Directed Study or Research in Physics
    Undergraduate Prerequisites: consent of instructor and approval of advising office.
    Intensive study of one aspect of physics under the supervision of a faculty member.
  • CAS PY 492: Directed Study or Research in Physics
    Undergraduate Prerequisites: consent of instructor and approval of advising office.
    Intensive study of one aspect of physics under the supervision of a faculty member.
  • CAS PY 501: Mathematical Physics
    Undergraduate Prerequisites: CAS MA 226 and CAS PY 403; or equivalent.
    Graduate Prerequisites: CAS MA 226 and CAS PY 403; or equivalent.
    Introduction to complex variables and residue calculus, asymptotic methods, and conformal mapping; integral transforms; ordinary and partial differential equations; non-linear equations; integral equations.
  • CAS PY 502: Computational Physics
    Undergraduate Prerequisites: consent of instructor.
    Graduate Prerequisites: consent of instructor.
    Fundamental methods of computational physics and applications; numerical algorithms; linear algebra, differential equations; computer simulation; vectorization, parallelism, and optimization. Examples and projects on scientific applications.
  • CAS PY 511: Quantum Mechanics I
    Undergraduate Prerequisites: CAS PY 451 and CAS PY 452.
    Graduate Prerequisites: CAS PY 451 and CAS PY 452.
    General theory of quantum mechanics, including the Schrodinger, Heisenberg, and interaction pictures. The path integral formulation. Angular momentum: orbital and spin angular momentum, addition of angular momenta, Wigner-Eckart theorem. Scattering theory: time-independent, partial waves and phase shift, identical particles, time dependent, and propagators.
  • CAS PY 512: Quantum Mechanics II
    Undergraduate Prerequisites: CAS PY 511.
    Graduate Prerequisites: CAS PY 511.
    Continuation of CAS PY 511. Degenerate and nondegenerate perturbation theory. Second quantization of nonrelativistic systems with applications to scattering, lifetime of excited atomic states, many-body problems. Relativistic quantum mechanics: Klein-Gordon equation, Dirac equation.
  • CAS PY 521: Electromagnetic Theory I
    Undergraduate Prerequisites: CAS PY 405.
    Graduate Prerequisites: CAS PY 405.
    Vector and tensor analysis. Electrostatics, uniqueness, electrostatic energy, capacitance. Boundary value problems, conformal mapping, variable separation, Green's functions. Multipole expansion, electric polarization, atomic models, anisotropic media. Contour integration and application to frequency-dependent dielectric constant. Dielectrics, electrostatic energy, boundary value problems.
  • CAS PY 522: Electromagnetic Theory II
    Undergraduate Prerequisites: CAS PY 521.
    Graduate Prerequisites: CAS PY 521.
    Continuation of CAS PY 521. Magnetostatics, dipole moment, magnetic materials, boundary value problems. Electromagnetic induction, magnetic energy, Maxwell's equations. Electromagnetic waves in materials, reflection, refraction. Waveguides. Scattering and diffraction. Special relativity. Lorentz transformations, covariant electrodynamics. Interaction of charges with matter. Radiation, Lienard-Wiechert potential, synchotron radiation, antennas.
  • CAS PY 536: Quantum Computing
    Undergraduate Prerequisites: CAS CS 330 or CAS PY 354; or equivalent.
    Quantum physics as a powerful computational paradigm. Quantum bits (qubits), qubit operations and quantum gates, computation, and algorithms. Computational complexity classes, and efficiency of classical vs. quantum computers. Quantum Fourier transform and Shor's factorization algorithm. Physical implementation of quantum computation. Also offered as CAS CS 536.
  • CAS PY 538: Econophysics
    Undergraduate Prerequisites: CAS PY 355; or equivalent.
    The key concepts of the newly emerged interdisciplinary field of econophysics. The methods now available in the field of economics for analyzing large data sets, and for extracting new empirical "laws," such as the famous inverse cubic distribution of price fluctuations.
  • CAS PY 541: Statistical Mechanics I
    Undergraduate Prerequisites: CAS PY 410.
    Graduate Prerequisites: CAS PY 410.
    Probability theory. Ensembles. Steepest descent methods. Paramagnetism, ideal gas, Einstein model, adsorption isotherms. Thermodynamics, Maxwell relations, heat capacity. Bose and Fermi gases. Electrons in metals, white dwarf stars, black-body radiation, phonons, Bose-Einstein condensation. Interacting systems, virial expansion, Van der Waals gas. Phase transitions: mean-field theories, spin systems.
  • CAS PY 542: Statistical Mechanics II
    Undergraduate Prerequisites: CAS PY 541; or equivalent.
    Graduate Prerequisites: CAS PY 541.
    Continuation of CAS PY 541; emphasis on applications. Phase transitions: thermodynamic theory of phase transitions, mean field theories (Landau theory). Fluctuations: equilibrium fluctuations, instabilities, fluctuation dissipation theories. Elementary kinetic theory: mean free path approach, Boltzmann equation. Stochastic mathematics: probability theory, Markoff processes, Gaussian processes. Brownian motion: Langevin equations, Fokker-Planck equation.