The irregular energy spectrum of the Hénon-Heiles system

The properties of the quantal energy spectrum of the Hénon-Heiles system, as obtained by Pomphrey and by Pullen and Edmonds, apparently conflict with those obtained by Noid, Koszkowski, Tabor and Marcus, and by Weissman and Jortner. We discuss this and conclude that the classical transition from reg...

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Bibliographic Details
Published in:Chemical physics letters 1982-01, Vol.91 (4), p.273-276
Main Authors: Edmonds, A.R., Pullen, R.A., Percival, I.C.
Format: Article
Language:English
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Summary:The properties of the quantal energy spectrum of the Hénon-Heiles system, as obtained by Pomphrey and by Pullen and Edmonds, apparently conflict with those obtained by Noid, Koszkowski, Tabor and Marcus, and by Weissman and Jortner. We discuss this and conclude that the classical transition from regular to irregular motion corresponds to the onset of avoided crossings in the quantal spectrum with high second differences of the energy eigenvalues as a function of pertubation parameter.
ISSN:0009-2614
1873-4448
DOI:10.1016/0009-2614(82)80154-1