Quantum Mechanics I

3 Credits · Level: Graduate, Undergraduate

Beginning with the Dirac formalism, the basic concepts of quantum mechanics will be developed in one-dimension, including the eigenvalue problem and quantum dynamics. The semiclassical formalism of coherent states and the WKB approximation will be discussed. Applications will be made to the simplest lattice model for describing solid state materials properties, the Kronig-Penney model. The one-dimensional formalism will be extended to three dimensions. Topics will include spin, angular momentum, central potentials, time independent perturbation theory, identical particles, symmetries and conservation laws. Applications will be made to atomic systems