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Moyal products -- a new perspective on quasi-hermitian quantum mechanics

FG Scholtz·HB Geyer
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Abstract

The rationale for introducing non-hermitian Hamiltonians and other observables is reviewed and open issues identified. We present a new approach based on Moyal products to compute the metric for quasi-hermitian systems. This approach is not only an efficient method of computation, but also suggests a new perspective on quasi-hermitian quantum mechanics which invites further exploration. In particular, we present some first results which link the Berry connection and curvature to non-perturbative properties and the metric.

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FG Scholtz, HB Geyer. 2006-02-22. Moyal products -- a new perspective on quasi-hermitian quantum mechanics. https://doi.org/10.1088/0305-4470/39/32/s19

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