Singular potentials and absorption problem in Quantum Mechanics
Abstract
We discuss a possible approach to the absorption problem in Quantum Mechanics based on using of singular attractive potentials in the corresponding Schr\"{o}dinger equations. Possible criteria for selection of exact solutions of these equations are considered and it is shown that different models of absorption can be realized by a special choice of exact solutions. As an example, the motion of charged particles in the Aharonov-Bohm (AB) and the scalar attractive potentials is investigated in detail. Other attractive potentials are briefly considered.
Keywords
Cite
@article{arxiv.quant-ph/0012004,
title = {Singular potentials and absorption problem in Quantum Mechanics},
author = {Vladimir D. Skarzhinsky and Juergen Audretsch},
journal= {arXiv preprint arXiv:quant-ph/0012004},
year = {2007}
}
Comments
gz-compressed .tar LaTeX file, 9 pages, to be published in Proceedings of Int.Conference "Quantization, Gauge Theory and Strings", Moscow, June 5-10, 2000. The extended version of this talk will be published