Semiclassical trace formulae using coherent states

Mehlig, Bernhard and Wilkinson, Michael (2001). Semiclassical trace formulae using coherent states. Annalen der Physik, 10(6-7) pp. 541–559.

URL: http://onlinelibrary.wiley.com/doi/10.1002/1521-38...

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.

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