Overview
Description
Development of quantum theory. Schroedinger equation, operators, expectation values. Matrix formalism of Heisenberg, eigenvalue problems, wave packets, conjugate variables and uncertainty principle. Solution of wave equation for square potentials, harmonic oscillator and hydrogen-like atoms.
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall
Terms
fall
Attributes
Standard
Learning Outcomes
- demonstrate understanding of advanced topics in electromagnetic theory (see catalog description above).
- further develop their problem solving skills in electromagnetic theory using advanced mathematical methods.
- apply and refine their skill in practical applications of advanced mathematical methods including vector and tensor calculus, the Levi-Civita pseudo tensor, the Dirac delta function, the Green function, and the Gauss, Stokes, Green and Helmholtz theorems.
- demonstrate improved practical mathematical physics skills in solving partial differential equations via the variable separation method, Fourier series, and series expansion over special functions such as Legendre polynomials, Bessel functions, and spherical harmonics.