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Non-hermitian supersymmetry and singular, PT-symmetrized oscillators

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    0185537 - UJF-V 20020041 RIV GB eng J - Journal Article
    Znojil, Miloslav
    Non-hermitian supersymmetry and singular, PT-symmetrized oscillators.
    [Nehermitovský supersymmetrický a singulární PT symetricky oscilátor.]
    Journal of Physics. A - Mathematical and General Physics. Roč. 35, č. 9 (2002), s. 2341-2352. ISSN 0305-4470
    R&D Projects: GA AV ČR IAA1048004
    Institutional research plan: CEZ:AV0Z1048901
    Keywords : quantum-field theory * real energy-spectra * anharmonic-oscillators
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.406, year: 2002

    Hermitian supersymetric partnership between singular potentials V(q) + G/q(2) breaks down and can only be restored on certain ad hoc subspaces (Das A and Pernice S 1999 Nucl. Phus. B 561 357). We show that within extended, PT-symmetric quantum mechanics, the supersymmetry between singular oscillators can be completely re-established in a way which in continuous near G = 0 and leads to new form of the bosonic creation and annihilation operators.

    Hermitovská supersymetrická relace mezi singulárními potencionály V (q)+ G/q(2) je narušena a může být obnovena za určitých podprostorech.(Pernice S1999 Nucl.Phus. B561 357).
    Permanent Link: http://hdl.handle.net/11104/0081931

     
     
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