Počet záznamů: 1
Nonlinearity of perturbations in PT-symmetric quantum mechanics
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SYSNO ASEP 0509984 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Nonlinearity of perturbations in PT-symmetric quantum mechanics Tvůrce(i) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
Růžička, František (UJF-V) ORCIDCelkový počet autorů 2 Číslo článku 012120 Zdroj.dok. Journal of Physics: Conference series, 1194. - Bristol : IOP, 2019 / Burdík Č. ; Navrátil O. ; Pošta S. - ISSN 1742-6588 Poč.str. 8 s. Forma vydání Tištěná - P Akce 32nd International Colloquium on Group Theoretical Methods in Physics (Group32) Datum konání 08.07.2018 - 13.07.2018 Místo konání Prague Země CZ - Česká republika Typ akce WRD Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Group theory ; Hilbert spaces ; quantum optics Vědní obor RIV BE - Teoretická fyzika Obor OECD Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect) CEP GA16-22945S GA ČR - Grantová agentura ČR Institucionální podpora UJF-V - RVO:61389005 UT WOS 000537619600118 EID SCOPUS 85065556898 DOI 10.1088/1742-6596/1194/1/012120 Anotace In the so called crypto-Hermitian formulation of quantum theory (incorporating, in particular, the PT -symmetric quantum mechanics as its special case) the unitary evolution of a system is known to be described via an apparently redundant representation of the states in a triplet of Hilbert spaces. Two of them are unitarily equivalent while the auxiliary, zeroth one is unphysical but exceptionally user-friendly. The dynamical evolution equations are, naturally, solved in the friendliest space H(0). The evaluation of experimental predictions then requires a Hermitization of the observables. This yields, as its byproduct, the correct physical Hilbert space H(1). The formalism offers the conventional probabilistic interpretation due to the Dyson-proposed unitary equivalence between H(1)and a certain conventional but prohibitively complicated textbook space H(2). The key merit of the innovation lies in its enhanced flexibility opening new ways towards nonlocal or complex-interaction unitary models. The price to pay is that the ad hoc inner product in the relevant physical Hilbert space H(1) is, by construction, Hamiltonian-dependent. We show that this implies that the Rayleigh-Schrödinger perturbation theory must be used with due care. The warning is supported by an elementary sample of quantum system near its exceptional-point phase transition. In contrast to a naive expectation, the model proves stable with respect to the admissible, self-consistently specified (i.e., physical) small perturbations. Pracoviště Ústav jaderné fyziky Kontakt Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Rok sběru 2020
Počet záznamů: 1