arXiv subjects

Hynek Bila

Publications and source records attributed to Hynek Bila.

2 recordsLinked to original sources

arXiv2004

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

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.

quant-ph↗

arXiv2003

Energy-dependent Hamiltonians and their pseudo-Hermitian interpretation

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.

quant-ph↗