Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels
A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed q,p-oscillators and proceeds via appropriately chosen particular relation b...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147224 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels / A.M. Gavrilik, A.P. Rebesh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1472242019-02-14T01:24:24Z Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels Gavrilik, A.M. Rebesh, A.P. A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed q,p-oscillators and proceeds via appropriately chosen particular relation between p and q. Different versions of quadratic relations p = f(q) are utilized for the case which implies two degenerate pairs E₁ = E₂ and E₃ = E₄. On the other hand, using one fixed quadratic relation, we obtain p-oscillators with other cases of two pairs of (pairwise) degenerate energy levels. 2007 Article Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels / A.M. Gavrilik, A.P. Rebesh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81S05; 81R50 http://dspace.nbuv.gov.ua/handle/123456789/147224 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 |
A scheme is proposed which allows to obtain special q-oscillator models whose characteristic feature consists in possessing two differing pairs of degenerate energy levels. The method uses the model of two-parameter deformed q,p-oscillators and proceeds via appropriately chosen particular relation between p and q. Different versions of quadratic relations p = f(q) are utilized for the case which implies two degenerate pairs E₁ = E₂ and E₃ = E₄. On the other hand, using one fixed quadratic relation, we obtain p-oscillators with other cases of two pairs of (pairwise) degenerate energy levels. |
| format |
Article |
| author |
Gavrilik, A.M. Rebesh, A.P. |
| spellingShingle |
Gavrilik, A.M. Rebesh, A.P. Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Gavrilik, A.M. Rebesh, A.P. |
| author_sort |
Gavrilik, A.M. |
| title |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_short |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_full |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_fullStr |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_full_unstemmed |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_sort |
deformed oscillators with two double (pairwise) degeneracies of energy levels |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147224 |
| citation_txt |
Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels / A.M. Gavrilik, A.P. Rebesh // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT gavrilikam deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels AT rebeshap deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels |
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2023-05-20T17:26:52Z |
| last_indexed |
2023-05-20T17:26:52Z |
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1796153320523431936 |