Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-16
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, LaTeX, CbNU-Th-94-27
Scientific paper
10.1103/PhysRevA.51.982
The quantum mechanical version of the four kinds of classical canonical transformations is investigated by using non-hermitian operator techniques. To help understand the usefulness of this appoach the eigenvalue problem of a harmonic oscillator is solved in two different types of canonical transformations. The quantum form of the classical Hamiton-Jacobi theory is also employed to solve time dependent Schr\"odinger wave equations, showing that when one uses the classical action as a generating function of the quantum canonical transformation of time evolutions of state vectors, the corresponding propagator can easily be obtained.
l'Yi Won Sik
Lee Haewon
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