Planarizable Supersymmetric Quantum Toboggans
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 quan...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2011 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146784 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Planarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862599486965022720 |
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| author | Znojil, M. |
| author_facet | Znojil, M. |
| citation_txt | Planarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-27T22:41:23Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-146784 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T22:41:23Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Znojil, M. 2019-02-11T15:06:35Z 2019-02-11T15:06:35Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/146784 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Planarizable Supersymmetric Quantum Toboggans Article published earlier |
| spellingShingle | Planarizable Supersymmetric Quantum Toboggans Znojil, M. |
| title | Planarizable Supersymmetric Quantum Toboggans |
| title_full | Planarizable Supersymmetric Quantum Toboggans |
| title_fullStr | Planarizable Supersymmetric Quantum Toboggans |
| title_full_unstemmed | Planarizable Supersymmetric Quantum Toboggans |
| title_short | Planarizable Supersymmetric Quantum Toboggans |
| title_sort | planarizable supersymmetric quantum toboggans |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146784 |
| work_keys_str_mv | AT znojilm planarizablesupersymmetricquantumtoboggans |