Moyal products - A new perspective on quasi-Hermitian quantum mechanics
Date
2006
Authors
Scholtz F.G.
Geyer H.B.
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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. © 2006 IOP Publishing Ltd.
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Journal of Physics A: Mathematical and General
39
32
39
32