Počet záznamů: 1

Scattering in the PT-symmetric Coulomb potential

  1. 1.
    0329438 - UJF-V 2010 RIV GB eng J - Článek v odborném periodiku
    Levai, G. - Siegl, P. - Znojil, Miloslav
    Scattering in the PT-symmetric Coulomb potential.
    [Rozptyl na PT symetrickém Coulombově potenciálu.]
    Journal of Physics A-Mathematical and Theoretical. Roč. 42, č. 29 (2009), 295201/1-295201/9 ISSN 1751-8113
    Grant CEP: GA ČR GA202/07/1307; GA MŠk LC06002
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: NON-HERMITIAN HAMILTONIANS * QUANTUM-MECHANICS * EQUATIONS
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.577, rok: 2009

    Scattering on the PT -symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex x plane from below. This trajectory reflects PT symmetry, sets the appropriate boundary conditions for bound states and also allows the restoration of the correct sign of the energy eigenvalues. Scattering states are composed from the two linearly independent solutions valid for non-integer values of the 2L parameter, which would correspond to the angular momentum in the usual Hermitian setting. The transmission and reflection coefficients are written in a closed analytic form, and it is shown that, similar to other PT -symmetric scattering systems, the latter exhibit the handedness effect. Bound-state energies are recovered from the poles of the transmission coefficients

    Je studován rozptyl na PT symetrickém Coulombově potenciálu podél křivky tvaru U v komplexní rovině.
    Trvalý link: http://hdl.handle.net/11104/0175475