dorsal/arxiv
View SchemaPseudo-Hermitian approach to energy-dependent Klein-Gordon models
| Authors | Miloslav Znojil, Hynek Bila, Vit Jakubsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408141 |
| URL | https://arxiv.org/abs/quant-ph/0408141 |
| DOI | 10.1023/B:CJOP.0000044017.33267.58 |
| Journal | Czechoslovak J. Phys. 54 (2004) 1143 - 1148 |
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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"abstract": "The relativistic Klein-Gordon system is studied as an illustration of Quantum\nMechanics using non-Hermitian operators as observables. A version of the model\nis considered containing a generic coordinate- and energy-dependent\nphenomenological mass-term $m^2(E,x)$. We show how similar systems may be\nassigned a pair of the linear, energy-independent left- and right-acting\nHamiltonians with quasi-Hermiticity property and, hence, with the standard\nprobabilistic interpretation.",
"arxiv_id": "quant-ph/0408141",
"authors": [
"Miloslav Znojil",
"Hynek Bila",
"Vit Jakubsky"
],
"categories": [
"quant-ph"
],
"doi": "10.1023/B:CJOP.0000044017.33267.58",
"journal_ref": "Czechoslovak J. Phys. 54 (2004) 1143 - 1148",
"title": "Pseudo-Hermitian approach to energy-dependent Klein-Gordon models",
"url": "https://arxiv.org/abs/quant-ph/0408141"
},
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