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 relati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2007-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2007/112/ |
| _version_ | 1818038980775510016 |
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| author | Alexandre M. Gavrilik Anastasiya P. Rebesh |
| author_facet | Alexandre M. Gavrilik Anastasiya P. Rebesh |
| author_sort | Alexandre M. Gavrilik |
| collection | DOAJ |
| 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 $E_1 = E_2$ and $E_3 = E_4$. On the other hand, using one fixed quadratic relation, we obtain p-oscillators with other cases of two pairs of (pairwise) degenerate energy levels. |
| first_indexed | 2024-12-10T07:51:22Z |
| format | Article |
| id | doaj.art-d91b880bee8a450281fc1da5ca2400ca |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-10T07:51:22Z |
| publishDate | 2007-11-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-d91b880bee8a450281fc1da5ca2400ca2022-12-22T01:57:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-11-013112Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy LevelsAlexandre M. GavrilikAnastasiya P. RebeshA 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 $E_1 = E_2$ and $E_3 = E_4$. On the other hand, using one fixed quadratic relation, we obtain p-oscillators with other cases of two pairs of (pairwise) degenerate energy levels.http://www.emis.de/journals/SIGMA/2007/112/$qp$-deformed oscillators$q$-oscillatorsenergy levels degeneracyenergy function |
| spellingShingle | Alexandre M. Gavrilik Anastasiya P. Rebesh Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels Symmetry, Integrability and Geometry: Methods and Applications $q p$-deformed oscillators $q$-oscillators energy levels degeneracy energy function |
| 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 |
| topic | $q p$-deformed oscillators $q$-oscillators energy levels degeneracy energy function |
| url | http://www.emis.de/journals/SIGMA/2007/112/ |
| work_keys_str_mv | AT alexandremgavrilik deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels AT anastasiyaprebesh deformedoscillatorswithtwodoublepairwisedegeneraciesofenergylevels |