Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics

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dc.contributor.authorScholtz F.G.
dc.contributor.authorGeyer H.B.
dc.date.accessioned2011-05-15T16:02:12Z
dc.date.available2011-05-15T16:02:12Z
dc.date.issued2006
dc.description.abstractThe Moyal product is used to cast the equation for the metric of a non-Hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form p2+V(ix) with V polynomial this is an exact equation. Solving this equation in perturbation theory recovers known results. Explicit criteria for the hermiticity and positive definiteness of the metric are formulated on the functional level. © 2006 Elsevier B.V. All rights reserved.
dc.description.versionArticle
dc.identifier.citationPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
dc.identifier.citation634
dc.identifier.citation1
dc.identifier.issn3702693
dc.identifier.other10.1016/j.physletb.2006.01.022
dc.identifier.urihttp://hdl.handle.net/10019.1/12359
dc.titleOperator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics
dc.typeArticle
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