Počet záznamů: 1

Planarizable Supersymmetric Quantum Toboggans

  1. 1.
    0366277 - UJF-V 2012 RIV UA eng J - Článek v odborném periodiku
    Znojil, Miloslav
    Planarizable Supersymmetric Quantum Toboggans.
    Symmetry, Integrability and Geometry: Methods and Applications. Roč. 7, - (2011), 018/1-018/23 ISSN 1815-0659.
    [Workshop on Supersymmetric Quantum Mechanics and Spectral Design. Benasque, 18.07.2010-30.07. 2010]
    Grant CEP: GA ČR GAP203/11/1433
    Výzkumný záměr: CEZ:AV0Z10480505
    Klíčová slova: supersymmetry * Schrodinger equation * complexified coordinates
    Kód oboru RIV: BE - Teoretická fyzika
    Impakt faktor: 1.071, rok: 2011

    In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isospectrality between partner potentials. One of the regularization recipes is based on a topologically nontrivial, multisheeted complex deformations of the line of coordinate x giving the so called quantum toboggan models (QTM). The consistent theoretical background of this recipe is briefly reviewed. Then, certain supersymmetric QTM pairs are shown exceptional and reducible to doublets of non-singular ordinary differential equations a.k.a. Sturm-Schrodinger equations containing a weighted energy E -> EW(x) and living in single complex plane.
    Trvalý link: http://hdl.handle.net/11104/0201327