Počet záznamů: 1  

Nonlinearity of perturbations in PT-symmetric quantum mechanics

  1. 1.
    SYSNO ASEP0509984
    Druh ASEPC - Konferenční příspěvek (mezinárodní konf.)
    Zařazení RIVD - Článek ve sborníku
    NázevNonlinearity of perturbations in PT-symmetric quantum mechanics
    Tvůrce(i) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Růžička, František (UJF-V) ORCID
    Celkový počet autorů2
    Číslo článku012120
    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 vydáníTištěná - P
    Akce32nd International Colloquium on Group Theoretical Methods in Physics (Group32)
    Datum konání08.07.2018 - 13.07.2018
    Místo konáníPrague
    ZeměCZ - Česká republika
    Typ akceWRD
    Jazyk dok.eng - angličtina
    Země vyd.GB - Velká Británie
    Klíč. slovaGroup theory ; Hilbert spaces ; quantum optics
    Vědní obor RIVBE - Teoretická fyzika
    Obor OECDAtomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    CEPGA16-22945S GA ČR - Grantová agentura ČR
    Institucionální podporaUJF-V - RVO:61389005
    UT WOS000537619600118
    EID SCOPUS85065556898
    DOI10.1088/1742-6596/1194/1/012120
    AnotaceIn 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.
    PracovištěÚstav jaderné fyziky
    KontaktMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Rok sběru2020
Počet záznamů: 1  

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