Quasi-Hermitian quantum mechanics in phase space
@article{Curtright2007QuasiHermitianQM, title={Quasi-Hermitian quantum mechanics in phase space}, author={Thomas L. Curtright and Andrzej Veitia}, journal={Journal of Mathematical Physics}, year={2007}, volume={48}, pages={102112-102112} }
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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