Quasi-hermitian Quantum Mechanics in Phase Space

Details Quasi-hermitian Quantum Mechanics in Phase Space Quasi-hermitian Quantum Mechanics in Phase Space

2007-01-02

arxiv.org/abs/quant-ph/0701006v2

J.Math.Phys.48:102112,2007

Physics

Quantum Physics

Accepted by Journal of Mathematical Physics

Scientific paper

10.1063/1.2365716

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.

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