Quantum chaos in a schematic shell model

D. C. Meredith, S. E. Koonin, M. R. Zirnbauer

Research output: Contribution to journalArticle

Abstract

To test the connection between chaotic classical motion and quantum spectral and overlap statistics, we examine a schematic three-orbital shell model. This system is novel in that the quantum phase space is compact and the momentum dependence of the classical Hamiltonian is nonstandard. We find good agreement with the expected behavior of the spectral statistics and reasonable agreement for the overlap distributions. Also, there is evidence that the eigenvector statistics are more sensitive to the details of the classical dynamics than are the eigenvalues.

Original languageEnglish (US)
Pages (from-to)3499-3513
Number of pages15
JournalPhysical Review A
Volume37
Issue number9
DOIs
StatePublished - 1988

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circuit diagrams
chaos
statistics
eigenvectors
eigenvalues
momentum
orbitals

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Quantum chaos in a schematic shell model. / Meredith, D. C.; Koonin, S. E.; Zirnbauer, M. R.

In: Physical Review A, Vol. 37, No. 9, 1988, p. 3499-3513.

Research output: Contribution to journalArticle

Meredith, D. C. ; Koonin, S. E. ; Zirnbauer, M. R. / Quantum chaos in a schematic shell model. In: Physical Review A. 1988 ; Vol. 37, No. 9. pp. 3499-3513.
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