Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
Quantum Physics
2024-08-15 v1 Mathematical Physics
math.MP
Abstract
In the framework of quasi-Hermitian quantum mechanics it is shown that a weakening of the isotropy of the Hilbert-space geometry can help us to enlarge the domain of the parameters at which the evolution is unitary. The idea is tested using a simplified subset of eligible metrics and two exactly solvable models.
Keywords
Cite
@article{arxiv.2408.02491,
title = {Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:2408.02491},
year = {2024}
}