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

Miloslav Znojil·Hynek Bila·Vit Jakubsky
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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.

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Miloslav Znojil, Hynek Bila, Vit Jakubsky. 2004-08-23. Pseudo-Hermitian approach to energy-dependent Klein-Gordon models. https://doi.org/10.1023/b%3Acjop.0000044017.33267.58

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