Pseudo-Hermitian approach to energy-dependent Klein-Gordon models

Abstract

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.

2nd Int. Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics" (http://gemma.ujf.cas.cz/~znojil/conf)

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• Crypto-Hermitian Approach to the Klein-Gordon Equation
• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry