Quantum cusp

R. Gilmore, S. Kais, R. D. Levine

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The quantum-mechanical system whose potential is the cusp catastrophe is studied. The qualitative features of this system, including the eigenvalue spectrum, density of states, wave-function localization and delocalization, probability distribution, operator expectation values, and matrix elements, are studied as functions of the cusp control parameter values. Canonical features preceding and accompanying the transition from the single-mode to the double-mode regime have been determined. The relationships between the qualitative properties of the quantum cusp and the canonical properties of the cusp catastrophes are exhibited.

Original languageEnglish
Pages (from-to)2442-2452
Number of pages11
JournalPhysical Review A
Volume34
Issue number3
DOIs
Publication statusPublished - 1 Dec 1986
Externally publishedYes

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cusps
eigenvalues
wave functions
operators
matrices

ASJC Scopus subject areas

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

Cite this

Gilmore, R., Kais, S., & Levine, R. D. (1986). Quantum cusp. Physical Review A, 34(3), 2442-2452. https://doi.org/10.1103/PhysRevA.34.2442

Quantum cusp. / Gilmore, R.; Kais, S.; Levine, R. D.

In: Physical Review A, Vol. 34, No. 3, 01.12.1986, p. 2442-2452.

Research output: Contribution to journalArticle

Gilmore, R, Kais, S & Levine, RD 1986, 'Quantum cusp', Physical Review A, vol. 34, no. 3, pp. 2442-2452. https://doi.org/10.1103/PhysRevA.34.2442
Gilmore R, Kais S, Levine RD. Quantum cusp. Physical Review A. 1986 Dec 1;34(3):2442-2452. https://doi.org/10.1103/PhysRevA.34.2442
Gilmore, R. ; Kais, S. ; Levine, R. D. / Quantum cusp. In: Physical Review A. 1986 ; Vol. 34, No. 3. pp. 2442-2452.
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