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Planarizable Supersymmetric Quantum Toboggans
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
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Planarizable Supersymmetric Quantum Toboggans
Інший ID:
2010 Mathematics Subject Classification: 81Q60; 81Q12; 46C15; 81Q10; 34L20; 47A75; 47B50
DOI:10.3842/SIGMA.2011.018
DOI:10.3842/SIGMA.2011.018
Посилання:
Planarizable Supersymmetric Quantum Toboggans / M. Znojil // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 52 назв. — англ.
Підтримка:
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.
Дата:
2011
Переглядів:
632
Завантажень:
231
Анотація:
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.
