Moyal products—a new perspective on quasi-Hermitian quantum mechanics

Abstract

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