Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

0569665 - ÚJF 2024 RIV NL eng J - Článek v odborném periodiku
Znojil, Miloslav
Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation.
Physics Letters. A. Roč. 462, FEB (2023), č. článku 128655. ISSN 0375-9601. E-ISSN 1873-2429
Institucionální podpora: RVO:61389005
Klíčová slova: Non-Hermitian quantum mechanics of closed systems * Non-stationary physical inner product in Hilbert space * Solvable two-state model
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.6, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.physleta.2023.128655

A new formulation of unitary quantum mechanics is proposed. Conceptually our proposal is inspired not only by the conventional interaction picture (where the wave functions and the observables do both vary with time) and by the newer, non-Hermitian version of Schrodinger picture (where the Hamiltonians with real spectra are still stationary) but also by their universal non-Hermitian interaction-picture 'overlap' (NIP) in which the physical inner-product metric in Hilbert space is also time-dependent. The main idea of the innovation (called 'hybrid interaction picture', HIP) lies in a partial simplification of the NIP Hilbert-space metric achieved via a partial preconditioning of the operators (in this sense we call their necessary Hermitization 'hybrid'). Via an illustrative example it is shown that the HIP approach might open new ways towards the technically optimal quantum-model-building strategies.
Trvalý link: https://hdl.handle.net/11104/0341037