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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147224 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715989315026944 |
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| author | Gavrilik, A.M. Rebesh, A.P. |
| author_facet | Gavrilik, A.M. Rebesh, A.P. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T18:02:22Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-147224 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:02:22Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gavrilik, A.M. Rebesh, A.P. 2019-02-13T19:21:43Z 2019-02-13T19:21:43Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147224 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. This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was done under partial support of the Grant Number 14.01/016 of the State Foundation of Fundamental Research of Ukraine. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels Article published earlier |
| spellingShingle | Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels Gavrilik, A.M. Rebesh, A.P. |
| title | 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_short | Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels |
| title_sort | deformed oscillators with two double (pairwise) degeneracies of energy levels |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147224 |
| work_keys_str_mv | AT gavrilikam deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels AT rebeshap deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels |