Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space

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.

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Cited by in corpus (3)

• Heisenberg and Heisenberg-Like Representations via Hilbert Space Bundle Geometry in the Non-Hermitian Regime
• Construction of maximally non-Hermitian potentials under unbroken PT-symmetry constraint
• Mutual compatibility/incompatibility of quasi-Hermitian quantum observables