Three Solvable Matrix Models of a Quantum Catastrophe

G. Lévai, František Růžička, Miloslav Znojil

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Three classes of finite-dimensional models of quantum systems exhibiting spectral degeneracies called quantum catastrophes are described in detail. Computer-assisted symbolic manipulation techniques are shown unexpectedly efficient for the purpose.

Original languageEnglish
Pages (from-to)2875-2890
Number of pages16
JournalInternational Journal of Theoretical Physics
Volume53
Issue number9
DOIs
Publication statusPublished - 2014

Fingerprint

Solvable Models
Catastrophe
Matrix Models
Quantum Systems
Manipulation
manipulators
matrices
Model
Class

Keywords

  • Exceptional-point localization
  • Finite-dimensional non-Hermitian Hamiltonians
  • Methods of computer algebra
  • PT symmetry
  • Quantum theory
  • Quantum theory of catastrophes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Mathematics(all)

Cite this

Three Solvable Matrix Models of a Quantum Catastrophe. / Lévai, G.; Růžička, František; Znojil, Miloslav.

In: International Journal of Theoretical Physics, Vol. 53, No. 9, 2014, p. 2875-2890.

Research output: Contribution to journalArticle

Lévai, G. ; Růžička, František ; Znojil, Miloslav. / Three Solvable Matrix Models of a Quantum Catastrophe. In: International Journal of Theoretical Physics. 2014 ; Vol. 53, No. 9. pp. 2875-2890.
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