Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Supersymmetric Quantum Mechanics and Painlevé IV Equation
Репозиторій DSpace/Manakin
- 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
JavaScript is disabled for your browser. Some features of this site may not work without it.
Supersymmetric Quantum Mechanics and Painlevé IV Equation
Інший ID:
2010 Mathematics Subject Classification: 81Q60; 35G20
DOI:10.3842/SIGMA.2011.025
DOI:10.3842/SIGMA.2011.025
Посилання:
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.
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.
The authors acknowledge the support of Conacyt.
Дата:
2011
Переглядів:
578
Завантажень:
183
Анотація:
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.
