Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
Miloslav Znojil, Hynek Bila, Vit Jakubsky
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 m2(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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