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

• URL: http://arxiv.org/abs/2408.02491v1
• Date: Mon, 5 Aug 2024 14:14:51 GMT
• Title: Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space
• Authors: Miloslav Znojil,
• Abstract summary: We show 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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