Supersymmetric Quantum Mechanics and Painlevé IV Equation

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
→
Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Bermudez, David
dc.contributor.author	Fern'andez C., David J.
dc.date.accessioned	2019-02-11T15:02:05Z
dc.date.available	2019-02-11T15:02:05Z
dc.date.issued	2011
dc.identifier.citation	Supersymmetric Quantum Mechanics and Painlevé IV Equation / David Bermudez, David J. Fern'andez C. // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 27 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 81Q60; 35G20
dc.identifier.other	DOI:10.3842/SIGMA.2011.025
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146780
dc.description.abstract	As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation. In this work, it will be shown that some specific subsets of the higher-order supersymmetric partners of the harmonic oscillator possess third-order differential ladder operators. This allows us to introduce a simple technique for generating solutions of the Painlevé IV equation. Finally, we classify these solutions into three relevant hierarchies.	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. The authors acknowledge the support of Conacyt.	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	Supersymmetric Quantum Mechanics and Painlevé IV Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA