Semiclassical trace formulae using coherent states
arXiv:cond-mat/0012027 · doi:10.1002/1521-3889(200106)10:6/7<541::AID-ANDP541>3.0.CO;2-A
Abstract
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.
19 pages, 1 figure
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