Moyal products - A new perspective on quasi-Hermitian quantum mechanics

Scholtz F.G. ; Geyer H.B. (2006)

Conference Paper

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. © 2006 IOP Publishing Ltd.

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