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  • 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.
  • 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. (en)
Title
  • Planarizable Supersymmetric Quantum Toboggans
  • Planarizable Supersymmetric Quantum Toboggans (en)
skos:prefLabel
  • Planarizable Supersymmetric Quantum Toboggans
  • Planarizable Supersymmetric Quantum Toboggans (en)
skos:notation
  • RIV/61389005:_____/11:00366277!RIV12-AV0-61389005
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
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  • P(GAP203/11/1433), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • -
http://linked.open...vai/riv/dodaniDat
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  • 220473
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  • RIV/61389005:_____/11:00366277
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  • supersymmetry; Schrodinger equation; complexified coordinates (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • UA - Ukrajina
http://linked.open...ontrolniKodProRIV
  • [674CE1EFEE22]
http://linked.open...i/riv/nazevZdroje
  • Symmetry, Integrability and Geometry: Methods and Applications
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  • 7
http://linked.open...iv/tvurceVysledku
  • Znojil, Miloslav
http://linked.open...ain/vavai/riv/wos
  • 000287879000002
http://linked.open...n/vavai/riv/zamer
issn
  • 1815-0659
number of pages
http://bibframe.org/vocab/doi
  • 10.3842/SIGMA.2011.018
is http://linked.open...avai/riv/vysledek of
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