Запис Детальніше

Planarizable Supersymmetric Quantum Toboggans

Vernadsky National Library of Ukraine

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Title Planarizable Supersymmetric Quantum Toboggans
 
Creator Znojil, M.
 
Description 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-Schrödinger equations containing a weighted energy E→EW(x) and living in single complex plane.
 
Date 2019-02-11T15:06:35Z
2019-02-11T15:06:35Z
2011
 
Type Article
 
Identifier Planarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 81Q60; 81Q12; 46C15; 81Q10; 34L20; 47A75; 47B50
DOI:10.3842/SIGMA.2011.018
http://dspace.nbuv.gov.ua/handle/123456789/146784
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України