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

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

2004-08-23

arxiv.org/abs/quant-ph/0408141v1

Czechoslovak J. Phys. 54 (2004) 1143 - 1148

Physics

Quantum Physics

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

Scientific paper

10.1023/B:CJOP.0000044017.33267.

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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