Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
arXiv:2408.02491 · doi:10.1016/j.physleta.2024.129782
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.
References in corpus (5)
- Making Sense of Non-Hermitian Hamiltonians
- Time-dependent version of cryptohermitian quantum theory
- Three-Hilbert-Space Formulation of Quantum Mechanics
- Discrete-coordinate crypto-Hermitian quantum system controlled by time-dependent Robin boundary conditions
- Three alternative model-building strategies using quasi-Hermitian time-dependent observables