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Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation
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SYSNO ASEP 0571840 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Non-Stationary Non-Hermitian 'Wrong-Sign' Quantum Oscillators and Their Meaningful Physical Interpretation Tvůrce(i) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Celkový počet autorů 1 Číslo článku 692 Zdroj.dok. Entropy. - : MDPI
Roč. 25, č. 4 (2023)Poč.str. 16 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. CH - Švýcarsko Klíč. slova quantum mechanics of non-stationary unitary systems ; non-Hermitian interaction representation ; quasi-Hermitian form of the observables ; a complete set of evolution equations ; internal consistency of the probabilistic interpretation ; application to asymptotically repulsive potential models Obor OECD Applied mathematics Způsob publikování Open access Institucionální podpora UJF-V - RVO:61389005 UT WOS 000980885000001 EID SCOPUS 85153859442 DOI 10.3390/e25040692 Anotace In the framework of quantum mechanics using quasi-Hermitian operators the standard unitary evolution of a non-stationary but still closed quantum system is only properly described in the non-Hermitian interaction picture (NIP). In this formulation of the theory both the states and the observables vary with time. A few aspects of implementation of this picture are illustrated via the 'wrong-sign' quartic oscillators. It is shown that in contrast to the widespread belief, both of the related Schrodinger-equation generators G(t) and the Heisenberg-equation generators s(t) are just auxiliary concepts. Their spectra are phenomenologically irrelevant and, in general, complex. It is argued that only the sum H(t)=G(t)+s(t) of the latter operators retains the standard physical meaning of the instantaneous energy of the unitary quantum system in question. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2024 Elektronická adresa https://doi.org/10.3390/e25040692
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