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arXiv · 2408.02491

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

Miloslav Znojil
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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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Miloslav Znojil. 2024-08-05. Non-Hermitian-Hamiltonian-induced unitarity and optional physical inner products in Hilbert space. https://doi.org/10.1016/j.physleta.2024.129782

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