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Calculating the bound spectrum by path summation in action-angle variables

Berry, MV and Tabor, M (1977) Calculating the bound spectrum by path summation in action-angle variables. In: Journal of Physics A: Mathematical and General, 10 (3). pp. 371-379.

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Official URL: http://www.iop.org/EJ/abstract/0305-4470/10/3/009


The density of states n(E) is calculated for a bound system whose classical motion is integrable, starting from an expression in terms of the trace of the time-dependent Green function. The novel feature is the use of action-angle variables. This has the advantages that the trace operation reduces to a trivial multiplication and the dependence of n(E) on all classical closed orbits with different topologies appears naturally. The method is contrasted with another, not applicable to integrable systems except in special cases, in which quantization arises from a single closed orbit which is assumed isolated and the trace taken by the method of stationary phase.

Item Type: Journal Article
Publication: Journal of Physics A: Mathematical and General
Publisher: Institute of Physics
Additional Information: Copyright for this article belongs to Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Oct 2009 09:35
Last Modified: 11 Oct 2018 18:23
URI: http://eprints.iisc.ac.in/id/eprint/24616

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