Quasi-Hermitian quantum mechanics in phase space

Thomas Curtright, Andrzej Veitia

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9 Scopus citations

Abstract

We investigate quasi-Hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them.

Original languageEnglish (US)
Article number102112
JournalJournal of Mathematical Physics
Volume48
Issue number10
DOIs
StatePublished - Nov 20 2007

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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