Semiclassical trace formulae using coherent states

Details Semiclassical trace formulae using coherent states Semiclassical trace formulae using coherent states

2000-12-04

arxiv.org/abs/cond-mat/0012027v1

Ann. Phys. (Lpz.) 10, 541 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, 1 figure

Scientific paper

10.1002/1521-3889(200106)10:6/7<

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.

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