dorsal/arxiv
View SchemaEnergy-dependent Hamiltonians and their pseudo-Hermitian interpretation
| Authors | Miloslav Znojil, Hynek Bila, Vit Jakubsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312148 |
| URL | https://arxiv.org/abs/quant-ph/0312148 |
Abstract
The concept of energy-dependent forces in quantum mechanics is re-analysed. We suggest a simplification of their study via the representation of each self-adjoint and energy-dependent Hamiltonian H=H(E) with real spectrum by an auxiliary non-Hermitian operator K which remains energy-independent. Practical merits of such an approach to the Schroedinger equations with energy-dependent potentials are illustrated using their quasi-exactly solvable example.
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"abstract": "The concept of energy-dependent forces in quantum mechanics is re-analysed.\nWe suggest a simplification of their study via the representation of each\nself-adjoint and energy-dependent Hamiltonian H=H(E) with real spectrum by an\nauxiliary non-Hermitian operator K which remains energy-independent. Practical\nmerits of such an approach to the Schroedinger equations with energy-dependent\npotentials are illustrated using their quasi-exactly solvable example.",
"arxiv_id": "quant-ph/0312148",
"authors": [
"Miloslav Znojil",
"Hynek Bila",
"Vit Jakubsky"
],
"categories": [
"quant-ph"
],
"title": "Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation",
"url": "https://arxiv.org/abs/quant-ph/0312148"
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