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Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00569665" target="_blank" >RIV/61389005:_____/23:00569665 - isvavai.cz</a>

  • Alternative codes found

    RIV/62690094:18470/23:50020911

  • Result on the web

    <a href="https://doi.org/10.1016/j.physleta.2023.128655" target="_blank" >https://doi.org/10.1016/j.physleta.2023.128655</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.physleta.2023.128655" target="_blank" >10.1016/j.physleta.2023.128655</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation

  • Original language description

    A new formulation of unitary quantum mechanics is proposed. Conceptually our proposal is inspired not only by the conventional interaction picture (where the wave functions and the observables do both vary with time) and by the newer, non-Hermitian version of Schrodinger picture (where the Hamiltonians with real spectra are still stationary) but also by their universal non-Hermitian interaction-picture 'overlap' (NIP) in which the physical inner-product metric in Hilbert space is also time-dependent. The main idea of the innovation (called 'hybrid interaction picture', HIP) lies in a partial simplification of the NIP Hilbert-space metric achieved via a partial preconditioning of the operators (in this sense we call their necessary Hermitization 'hybrid'). Via an illustrative example it is shown that the HIP approach might open new ways towards the technically optimal quantum-model-building strategies.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physics Letters. A

  • ISSN

    0375-9601

  • e-ISSN

    1873-2429

  • Volume of the periodical

    462

  • Issue of the periodical within the volume

    FEB

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    10

  • Pages from-to

    128655

  • UT code for WoS article

    000927450800001

  • EID of the result in the Scopus database

    2-s2.0-85150642350