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Experiments in PT-symmetric quantum mechanics

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    0101843 - UJF-V 20043010 RIV CZ eng J - Journal Article
    Znojil, Miloslav
    Experiments in PT-symmetric quantum mechanics.
    [Experimenty v PT-symetrické kvantové mechanice.]
    Czechoslovak Journal of Physics. Roč. 54, č. 1 (2004), s. 151-156. ISSN 0011-4626
    R&D Projects: GA AV ČR IAA1048302
    Institutional research plan: CEZ:AV0Z1048901
    Keywords : quantum mechanics * relativistic kinematics * non-Hermitian observables
    Subject RIV: BE - Theoretical Physics
    Impact factor: 0.292, year: 2004

    Extended quantum mechanics using non-Hermitian (pseudo-Hermitian) Hamiltonians H = H-double dagger is briefly reviewed. A few related mathematical experiments concerning supersymmetric regularizations, solvable simulations and large-N expansion techniques are summarized. We suggest that they could initiate a deeper study of nonlocalized structures (quasi-particles) and/or of their unstable and many-particle generalizations. Using the Klein-Gordon example for illustration, we show how the PT symmetry of its Feshbach-Villars Hamiltonian H-(FV) might clarify experimental aspects of relativistic quantum mechanics.

    Po krátkém přehledu rozšířené kvantové mechaniky s pseudo-hermitovskými hamiltoniány je shrnuto několik matematických experimentů, týkajících se supersymetrických regularizací, řešitelných simulací a rozvojů velkých N.
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