We investigate the system of a particle moving on a half line [Formula Presented] under the general walls at [Formula Presented] that are permitted quantum mechanically. These quantum walls, characterized by a parameter L, are shown to be realized as a limit of regularized potentials. We then study the classical aspects of the quantum walls by seeking a classical counterpart that admits the same time delay in scattering with the quantum wall, and also by examining the WKB exactness of the transition kernel based on the regularized potentials. It is shown that no classical counterpart exists for walls with [Formula Presented] and that the WKB exactness can hold only for [Formula Presented] and [Formula Presented].
|Number of pages||1|
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - Jan 1 2002|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics