Number of the records: 1
Planarizable Supersymmetric Quantum Toboggans
- 1.0366277 - ÚJF 2012 RIV UA eng J - Journal Article
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]
R&D Projects: GA ČR GAP203/11/1433
Institutional research plan: CEZ:AV0Z10480505
Keywords : supersymmetry * Schrodinger equation * complexified coordinates
Subject RIV: BE - Theoretical Physics
Impact factor: 1.071, year: 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.
Permanent Link: http://hdl.handle.net/11104/0201327
Number of the records: 1