Planarizable Supersymmetric Quantum Toboggans

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dc.contributor.authorZnojil, M.
dc.date.accessioned2019-02-11T15:06:35Z
dc.date.available2019-02-11T15:06:35Z
dc.date.issued2011
dc.description.abstractIn 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.sponsorshipThis 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.identifier.citationPlanarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 81Q60; 81Q12; 46C15; 81Q10; 34L20; 47A75; 47B50
dc.identifier.otherDOI:10.3842/SIGMA.2011.018
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146784
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titlePlanarizable Supersymmetric Quantum Toboggansuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік