Počet záznamů: 1
Hybrid form of quantum theory with non-Hermitian Hamiltonians
- 1.
SYSNO ASEP 0570944 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Hybrid form of quantum theory with non-Hermitian Hamiltonians Tvůrce(i) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Celkový počet autorů 1 Číslo článku 128556 Zdroj.dok. Physics Letters. A. - : Elsevier - ISSN 0375-9601
Roč. 457, JAN (2023)Poč.str. 5 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova Non -Hermitian quantum mechanics of unitary systems ; Hiddenly Hermitian quantum Hamiltonians ; Factorized Dyson map ; Hermitization using a combined ; amendment of the inner product and ; Hamiltonian Obor OECD Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) Způsob publikování Omezený přístup Institucionální podpora UJF-V - RVO:61389005 UT WOS 000957963800002 EID SCOPUS 85142372103 DOI 10.1016/j.physleta.2022.128556 Anotace In Schrodinger picture the unitarity of evolution is usually guaranteed by the Hermiticity of the Hamiltonian operator 1) = 1)dagger in a conventional Hilbert space Htextbook. After a Dyson-inspired operatortransformation (OT) non-unitary preconditioning S2 : 1) -> H the simplified Hamiltonian H is, in its manifestly unphysical Hilbert space Hauxiliary, non-Hermitian. Besides its natural OT-based physical interpretation it can also be 'Hermitized' (i.e., made compatible with the unitarity) via a metric-amendment (MA) change of the Hilbert space, Hauxiliary -> Hphysical. In our present letter we propose another, third, hybrid form (HF) of the Hermitization of H in which the change involves, simultaneously, both the Hamiltonian and the metric. Formally this means that the original Dyson map is assumed factorizable, S2 = S2MS2H. A key practical advantage of the new HF approach lies in the model-dependent adaptability of such a factorization. The flexibility and possible optimality of the balance between the MA-related (i.e., metric-amending) factor S2M and the OT-related (i.e., Hamiltonian-changing) factor S2H are explicitly illustrated via an elementary two-state quantum model. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2024 Elektronická adresa https://doi.org/10.1016/j.physleta.2022.128556
Počet záznamů: 1