Semiclassical trace formulae using coherent states
介观与纳米尺度物理
2017-09-27 v1
摘要
We derive semiclassical trace formulae including Gutzwiller's trace formula using coherent states. This formulation has several advantages over the usual coordinate-space formulation. Using a coherent-state basis makes it immediately obvious that classical periodic orbits make separate contributions to the trace of the quantum-mechanical time evolution operator. In addition, our approach is manifestly canonically invariant at all stages, and leads to the simplest possible derivation of Gutzwiller's formula.
引用
@article{arxiv.cond-mat/0012027,
title = {Semiclassical trace formulae using coherent states},
author = {B. Mehlig and M. Wilkinson},
journal= {arXiv preprint arXiv:cond-mat/0012027},
year = {2017}
}
备注
19 pages, 1 figure