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Planarizable Supersymmetric Quantum Toboggans

SYSNO ASEP	0366277
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Planarizable Supersymmetric Quantum Toboggans
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Source Title	Symmetry, Integrability and Geometry: Methods and Applications. - : Natsional'na Akademiya Nauk Ukrainy - ISSN 1815-0659 Roč. 7, - (2011), 018/1-018/23
Number of pages	24 s.
Action	Workshop on Supersymmetric Quantum Mechanics and Spectral Design
Event date	18.07.2010-30.07. 2010
VEvent location	Benasque
Country	ES - Spain
Event type	WRD
Language	eng - English
Country	UA - Ukraine
Keywords	supersymmetry ; Schrodinger equation ; complexified coordinates
Subject RIV	BE - Theoretical Physics
R&D Projects	GAP203/11/1433 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10480505 - UJF-V (2005-2011)
UT WOS	000287879000002
DOI	10.3842/SIGMA.2011.018
Annotation	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.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2012

Number of the records: 1