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Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry

Emanuela Caliceti·Francesco Cannata·Miloslav Znojil·Alberto Ventura
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Abstract

Within CPT-symmetric quantum mechanics the most elementary differential form of the charge operator C is assumed. A closed-form integrability of the related coupled differential self-consistency conditions and a natural embedding of the Hamiltonians in a supersymmetric scheme is achieved. For a particular choice of the interactions the rigorous mathematical consistency of the construction is scrutinized suggesting that quantum systems with non-self-adjoint Hamiltonians may admit probabilistic interpretation even in presence of a manifest breakdown of both T symmetry (i.e., Hermiticity) and PT symmetry.

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Emanuela Caliceti, Francesco Cannata, Miloslav Znojil, Alberto Ventura. 2004-12-06. Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry. https://doi.org/10.1016/j.physleta.2004.12.004

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