Quasi-Hermitian quantum mechanics in phase space

Thomas Curtright, Andrzej Veitia

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 - 2007

Fingerprint

metric space
Quantum Mechanics
quantum mechanics
Phase Space
distribution functions
Wigner Transform
stars
Deformation Quantization
Star Products
products
Exact Results
Function Space
Periodic Solution
Distribution Function
Metric
Relationships
Standards

ASJC Scopus subject areas

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

Cite this

Quasi-Hermitian quantum mechanics in phase space. / Curtright, Thomas; Veitia, Andrzej.

In: Journal of Mathematical Physics, Vol. 48, No. 10, 102112, 2007.

Research output: Contribution to journalArticle

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