Harmonic Oscillator SUSY Partners and Evolution Loops
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...
Збережено в:
| Дата: | 2012 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148452 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148452 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1484522019-02-19T01:23:18Z Harmonic Oscillator SUSY Partners and Evolution Loops Fernández, D.J. 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. 2012 Article Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60; 81Q05; 81Q70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.041 http://dspace.nbuv.gov.ua/handle/123456789/148452 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Fernández, D.J. |
| spellingShingle |
Fernández, D.J. Harmonic Oscillator SUSY Partners and Evolution Loops Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Fernández, D.J. |
| author_sort |
Fernández, D.J. |
| title |
Harmonic Oscillator SUSY Partners and Evolution Loops |
| title_short |
Harmonic Oscillator SUSY Partners and Evolution Loops |
| title_full |
Harmonic Oscillator SUSY Partners and Evolution Loops |
| title_fullStr |
Harmonic Oscillator SUSY Partners and Evolution Loops |
| title_full_unstemmed |
Harmonic Oscillator SUSY Partners and Evolution Loops |
| title_sort |
harmonic oscillator susy partners and evolution loops |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148452 |
| citation_txt |
Harmonic Oscillator SUSY Partners and Evolution Loops / D.J. Fernández // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 60 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT fernandezdj harmonicoscillatorsusypartnersandevolutionloops |
| first_indexed |
2025-07-12T19:30:44Z |
| last_indexed |
2025-07-12T19:30:44Z |
| _version_ |
1837470735540420608 |