Planarizable Supersymmetric Quantum Toboggans

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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dc.contributor.author	Znojil, M.
dc.date.accessioned	2019-02-11T15:06:35Z
dc.date.available	2019-02-11T15:06:35Z
dc.date.issued	2011
dc.identifier.citation	Planarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81Q60; 81Q12; 46C15; 81Q10; 34L20; 47A75; 47B50
dc.identifier.other	DOI:10.3842/SIGMA.2011.018
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146784
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html. Work supported by MSMT “Doppler Institute” project Nr. LC06002, by the GA ˇ CR grant Nr.P203/11/1433, by the Institutional Research Plan AV0Z10480505 and, last but not least, by the hospitality of STIAS in Stellenbosch in November 2010.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Planarizable Supersymmetric Quantum Toboggans	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA