Quasi-hermitian Quantum Mechanics in Phase Space
classification
🪐 quant-ph
hep-thmath-phmath.MP
keywords
mechanicsphasequantumquasi-hermitianspacecomputedeformationdistribution
read the original 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.
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