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PT-symmetrically regularized Eckart, Poeschl-Teller and Hulthen potentials

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    0185096 - UJF-V 20000266 RIV GB eng J - Journal Article
    Znojil, Miloslav
    PT-symmetrically regularized Eckart, Poeschl-Teller and Hulthen potentials.
    Journal of Physics. A - Mathematical and General Physics. Roč. 33, - (2000), s. 4561-4572. ISSN 0305-4470
    R&D Projects: GA AV ČR IAA1048004
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.365, year: 2000

    Parity times time-reversal symmetry of complex Hamiltonians with real spectra is usually interpreted as a weaker mathematical substitute for Hermiticity. Perhaps an equally important role is played by the related strengthened analyticity assumptions. In a constructive illustration we complexify a few potentials solvable only in s-wave. Thenwe continue their domain from semi-axis to the whole axisand get the new exactly solvable models. Their energies come out real as expected. The new one-dimensional spectrathemselves differ quite significantly from their s-wave predecessors.
    Permanent Link: http://hdl.handle.net/11104/0081515
     

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