Biorthogonal quantum systems

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Models of PT symmetric quantum mechanics provide examples of biorthogonal quantum systems. The latter incorporate all the structure of PT symmetric models, and allow for generalizations, especially in situations where the PT construction of the dual space fails. The formalism is illustrated by a few exact results for models of the form H=(p+) 2 + k>0 μk exp(ikx). In some nontrivial cases, equivalent Hermitian theories are obtained and shown to be very simple: They are just free (chiral) particles. Field theory extensions are briefly considered.

Original languageEnglish (US)
Article number092106
JournalJournal of Mathematical Physics
Volume48
Issue number9
DOIs
StatePublished - 2007

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Biorthogonal System
Quantum Systems
Dual space
Exact Results
Quantum Mechanics
Field Theory
quantum mechanics
Model
formalism

ASJC Scopus subject areas

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

Cite this

Biorthogonal quantum systems. / Curtright, Thomas; Mezincescu, Alexandru.

In: Journal of Mathematical Physics, Vol. 48, No. 9, 092106, 2007.

Research output: Contribution to journalArticle

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