Pseudo-Hermitian approach to energy-dependent Klein-Gordon models
Quantum Physics
2009-11-10 v1
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 . 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.
Cite
@article{arxiv.quant-ph/0408141,
title = {Pseudo-Hermitian approach to energy-dependent Klein-Gordon models},
author = {Miloslav Znojil and Hynek Bila and Vit Jakubsky},
journal= {arXiv preprint arXiv:quant-ph/0408141},
year = {2009}
}
Comments
2nd Int. Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics" (http://gemma.ujf.cas.cz/~znojil/conf)