Linear canonical transformations in quantum mechanics

Andrew J. Bordner

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We find explicit unitary operators that implement linear canonical transformations of the quantum mechanical operators for a system with N degrees of freedom. We then relate the operators effecting this transformation to the previous formulation of quantum canonical transformations in terms of an effective generating function introduced by Ghandour.

Original languageEnglish (US)
Pages (from-to)3427-3434
Number of pages8
JournalJournal of Mathematical Physics
Issue number7
StatePublished - Jul 1997

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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