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Journal of Physics A Mathematical and General

A note on non-integrable phases and coherent states

Yves Brihaye, S. Giler, Piotr Kosiński, Paweł Maślanka

Published Jun 7, 1990• 12 citations
Publisher

Abstract

The relationship between non-integrable phases and generalised coherent states is discussed.
DOI
10.1088/0305-4470/23/11/022

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The authors use the generalised coherent state distribution to study in phase space the eigenfunctions of non-integrable Hamiltonians. The methods available in the Weyl group (the Husimi distribution) are extended to the more complicated phase spaces that arise from other Lie groups. They demonstrate the feasibility of numerical calculations in two models with W 2 and SU(3) symmetries, emphasising the similarities and showing the emergence of classical invariant structures in the semiclassical limit.