Level Clustering in the Regular Spectrum

In the regular spectrum of an f-dimensional system each energy level can be labelled with f quantum numbers originating in f constants of the classical motion. Levels with very different quantum numbers can have similar energies. We study the classical limit of the distribution P(S) of spacings betw...

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Veröffentlicht in:	Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1977-09, Vol.356 (1686), p.375-394
Hauptverfasser:	Berry, Michael Victor, Tabor, M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Arithmetic Energy levels Harmonic oscillators Integers Mathematical lattices Oscillators Quadrants Quantum numbers Transcendentals
Online-Zugang:	Volltext
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