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Non-Hermitian interaction representation and its use in relativistic quantum mechanics

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    0480789 - ÚJF 2018 RIV US eng J - Journal Article
    Znojil, Miloslav
    Non-Hermitian interaction representation and its use in relativistic quantum mechanics.
    Annals of Physics. Roč. 385, č. 10 (2017), s. 162-179. ISSN 0003-4916. E-ISSN 1096-035X
    R&D Projects: GA ČR GA16-22945S
    Institutional support: RVO:61389005
    Keywords : unitary quantum systems * non-Hermitian version of Dirac's interaction picture * complete set of time-evolution equations * application in relativistic quantum mechanics * Klein-Gordon example with space-time-dependent mass
    OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.367, year: 2017

    The textbook interaction-picture formulation of quantum mechanics is extended to cover the unitarily evolving systems in which the Hermiticity of the observables is guaranteed via an ad hoc amendment of the inner product in Hilbert space. These systems are sampled by the Klein Gordon equation with a space- and time dependent mass term.
    Permanent Link: http://hdl.handle.net/11104/0276477

     
     
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