Levinson's theorem and reflectionless one-dimensional potentials
量子物理
2007-05-23 v2
摘要
We studied two possible approaches to one-dimensional Levinson's theorem for Sch\"odinger equation. The first one, we restrict the 3-dimensional theorem. The other one, the theorem proposed by Dong, Ma and Klauss \cite{Dong}. We find failures in each approach for a one-dimensional reflectionless potential. In order to see this, we explicitly evaluate the phase shift using Schr\"odinger equation using solution procedure proposed by Jaffe \cite{Jaffe}.
引用
@article{arxiv.quant-ph/0510026,
title = {Levinson's theorem and reflectionless one-dimensional potentials},
author = {D. E. Zambrano},
journal= {arXiv preprint arXiv:quant-ph/0510026},
year = {2007}
}
备注
7 pages, no figures