Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
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, 2009, том 5
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics
Інший ID:
2000 Mathematics Subject Classification: 81Q60; 81R15; 47B15
Посилання:
Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics / A.A. Andrianov, A.V. Sokolov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 42 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the VIIth Workshop “Quantum Physics with NonHermitian Operators” (June 29 – July 11, 2008, Benasque, Spain). This work was partially supported by Grant RFBR 09-01-00145-a and Program RNP2009-1575. The work of A.A. was also supported by grants 2005SGR00564, 2009SGR, FPA200-66665 and by the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042).
Дата:
2009
Переглядів:
379
Завантажень:
226
Анотація:
When several inequivalent supercharges form a closed superalgebra in Quantum Mechanics it entails the appearance of hidden symmetries of a Super-Hamiltonian. We examine this problem in one-dimensional QM for the case of periodic potentials and potentials with finite number of bound states. After the survey of the results existing in the subject the algebraic and analytic properties of hidden-symmetry differential operators are rigorously elaborated in the Theorems and illuminated by several examples.
