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Theory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics

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    SYSNO ASEP0523763
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleTheory of Response to Perturbations in Non-Hermitian Systems Using Five-Hilbert-Space Reformulation of Unitary Quantum Mechanics
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Number of authors1
    Article number80
    Source TitleEntropy. - : MDPI
    Roč. 22, č. 1 (2020)
    Number of pages20 s.
    Publication formOnline - E
    Languageeng - English
    CountryCH - Switzerland
    Keywordshidden Hermiticity ; Hilbert space metric ; size of perturbations ; stability ; PT symmetry ; nitary quantum evolution
    Subject RIVBE - Theoretical Physics
    OECD categoryAtomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Method of publishingOpen access
    Institutional supportUJF-V - RVO:61389005
    UT WOS000516825400102
    EID SCOPUS85078530181
    DOI10.3390/e22010080
    AnnotationNon-Hermitian quantum-Hamiltonian-candidate combination H lambda of a non-Hermitian unperturbed operator H=H0 with an arbitrary 'small' non-Hermitian perturbation lambda W is given a mathematically consistent unitary-evolution interpretation. The formalism generalizes the conventional constructive Rayleigh-Schrodinger perturbation expansion technique. It is sufficiently general to take into account the well known formal ambiguity of reconstruction of the correct physical Hilbert space of states. The possibility of removal of the ambiguity via a complete, irreducible set of observables is also discussed.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2021
    Electronic addresshttps://doi.org/10.3390/e22010080
Number of the records: 1  

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