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Discrete PT-symmetric models of scattering

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    0310490 - ÚJF 2009 RIV GB eng J - Journal Article
    Znojil, Miloslav
    Discrete PT-symmetric models of scattering.
    [Diskrétní PT-symetrické modely rozptylu.]
    Journal of Physics A-Mathematical and Theoretical. Roč. 41, č. 29 (2008), 292002/1-292002/9. ISSN 1751-8113. E-ISSN 1751-8121
    R&D Projects: GA ČR GA202/07/1307; GA MŠMT LC06002
    Institutional research plan: CEZ:AV0Z10480505
    Keywords : non-Hermitian Hamiltonians * quantum-mechanics * real spectrum * scattering
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.540, year: 2008

    One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulates two point interactions at a variable strength and distance. The feasibility of the exact construction of the amplitudes is achieved via the discretization of the coordinate. By direct construction it is shown that in all our models the probability is conserved. This feature is tentatively attributed to the space-and time-reflection symmetry (also known as PT-symmetry) of our specific Hamiltonians.

    Studován jednodimenzionální rozptyl řízený nehermiteovskými hamiltoniány. Možnost sestrojení přesných amplitud rozptylu je ukázána disretizací souřadnic. Je dokázáno zachování pravděpodobnosti a interpretováno jako důsledek PT-symetrie.
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