Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Harmonic Oscillator SUSY Partners and Evolution Loops
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, 2012, том 8
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Harmonic Oscillator SUSY Partners and Evolution Loops
Інший ID:
2010 Mathematics Subject Classification: 81Q60; 81Q05; 81Q70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.041
DOI: http://dx.doi.org/10.3842/SIGMA.2012.041
Посилання:
Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html.
The author acknowledges the financial support of Conacyt, project 152574, as well as the comments of Alonso Contreras-Astorga.
Дата:
2012
Переглядів:
552
Завантажень:
192
Анотація:
Supersymmetric quantum mechanics is a powerful tool for generating exactly solvable potentials departing from a given initial one. If applied to the harmonic oscillator, a family of Hamiltonians ruled by polynomial Heisenberg algebras is obtained. In this paper it will be shown that the SUSY partner Hamiltonians of the harmonic oscillator can produce evolution loops. The corresponding geometric phases will be as well studied.
