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


Autoria(s): Berry, MV; Tabor, M
Data(s)

1977

Resumo

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.

Formato

application/pdf

Identificador

http://eprints.iisc.ernet.in/24616/1/20.pdf

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.

Publicador

Institute of Physics

Relação

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

http://eprints.iisc.ernet.in/24616/

Palavras-Chave #Others
Tipo

Journal Article

PeerReviewed