Generalized PT symmetry and real spectra

Carl M. Bender, M. V. Berry, Aikaterini Mandilara

Research output: Contribution to journalArticle

123 Citations (Scopus)

Abstract

The fact that eigenvalues of PT-symmetric Hamiltonians H can be real for some values of a parameter and complex for others is explained by showing that the matrix elements of H, and hence the secular equation, are real, not only for PT but also for any antiunitary operator A satisfying A2k = 1 with k odd. The argument is illustrated by a 2 × 2 matrix Hamiltonian, and two examples of the generalization are given.

Original languageEnglish
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number31
DOIs
Publication statusPublished - Aug 9 2002
Externally publishedYes

Fingerprint

PT Symmetry
Secular Equation
Hamiltonian Matrix
Hamiltonians
Odd
Eigenvalue
symmetry
matrices
Operator
eigenvalues
operators
Generalization

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Generalized PT symmetry and real spectra. / Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini.

In: Journal of Physics A: Mathematical and General, Vol. 35, No. 31, 09.08.2002.

Research output: Contribution to journalArticle

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