Journal
CZECHOSLOVAK JOURNAL OF PHYSICS
Volume 54, Issue 10, Pages 1143-1148Publisher
INST PHYSICS ACAD SCI CZECH REPUBLIC
DOI: 10.1023/B:CJOP.0000044017.33267.58
Keywords
quantum mechanics; non-Hermitian models; relativistic kinematics; energy-dependent forces; linear representation of observables; pseudo- and quasi-Hermitian regime
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The relativistic Klein-Gordon system is studied as an illustration of Quantum Mechanics using non-Hermitian operators as observables. A version of the model is considered containing a generic coordinate- and energy-dependent phenomenological mass-term m(2) (E, x). We show how similar systems may be assigned a pair of the linear, energy-independent left- and right-acting Hamiltonians with quasi-Hermiticity property and, hence, with the standard probabilistic interpretation.
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