A Free Particle on a Circle with Point Interaction
量子物理
2015-06-26 v1 数学物理
math.MP
摘要
The quantum dynamics of a free particle on a circle with point interaction is described by a U(2) family of self-adjoint Hamiltonians. We provide a classification of the family by introducing a number of subfamilies and thereby analyze the spectral structure in detail. We find that the spectrum depends on a subset of U(2) parameters rather than the entire U(2) needed for the Hamiltonians, and that in particular there exists a subfamily in U(2) where the spectrum becomes parameter-independent. We also show that, in some specific cases, the WKB semiclassical approximation becomes exact (modulo phases) for the system.
引用
@article{arxiv.quant-ph/9910062,
title = {A Free Particle on a Circle with Point Interaction},
author = {Tamas Fulop and Izumi Tsutsui},
journal= {arXiv preprint arXiv:quant-ph/9910062},
year = {2015}
}
备注
Plain TeX, 14 pages