Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation
Quantum Physics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0312148,
title = {Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation},
author = {Miloslav Znojil and Hynek Bila and Vit Jakubsky},
journal= {arXiv preprint arXiv:quant-ph/0312148},
year = {2007}
}
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14 pages