Properties of vibrational energy levels in the quasiperiodic and stochastic regimes

D. W. Noid, M. L. Koszykowski, Michael Tabor, R. A. Marcus

Research output: Contribution to journalArticle

164 Citations (Scopus)

Abstract

Several aspects of the quantal energy spectrum are explored for the Henon-Heiles Hamiltonian system: a striking and initially unexpected continuation of sequences of eigenvalues from the quasiperiodic to the stochastic regime, the origin of large second differences Δ 2Ei of eigenvalues arising from variation of a parameter, the comparison of classical and quantal spectra, and a comparison of the "classical" and quantal number of states. In the study of the second differences we find both "crossings" and "avoided crossings" of the eigenvalues. We discuss the importance of overlapping avoided crossings as a basis for a possible theory of "quantum stochasticity".

Original languageEnglish (US)
Pages (from-to)6169-6175
Number of pages7
JournalThe Journal of Chemical Physics
Volume72
Issue number11
StatePublished - 1979
Externally publishedYes

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Hamiltonians
Electron energy levels
eigenvalues
energy levels
energy spectra

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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Properties of vibrational energy levels in the quasiperiodic and stochastic regimes. / Noid, D. W.; Koszykowski, M. L.; Tabor, Michael; Marcus, R. A.

In: The Journal of Chemical Physics, Vol. 72, No. 11, 1979, p. 6169-6175.

Research output: Contribution to journalArticle

Noid, D. W. ; Koszykowski, M. L. ; Tabor, Michael ; Marcus, R. A. / Properties of vibrational energy levels in the quasiperiodic and stochastic regimes. In: The Journal of Chemical Physics. 1979 ; Vol. 72, No. 11. pp. 6169-6175.
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