Various Approaches to Semiclassical Quantum Dynamics

Various Approaches to Semiclassical Quantum Dynamics - George A. Hagedorn

George A. Hagedorn
Virginia Tech
March 6, 2012

I shall describe several techniques for finding approximate solutions to the time-dependent Schr\"odinger equation in the semiclassical limit. The first of these involves expansions in "semiclassical wave packets" that are also sometimes called "generalized squeezed states." The second is a time-dependent WKB approach that is related to the work of Maslov. I also plan briefly to describe the use of Bargmann transforms and Wigner.