Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators
We consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the sy...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/103675 |
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| _version_ | 1849414523198373888 |
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| author | J. Naji S. Heydari R. Darabi |
| author_facet | J. Naji S. Heydari R. Darabi |
| author_sort | J. Naji |
| collection | DOAJ |
| description | We consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the system. |
| format | Article |
| id | doaj-art-72c07633c7204f778f336048b46b8de7 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-72c07633c7204f778f336048b46b8de72025-08-20T03:33:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/103675103675Twisted Conformal Algebra and Quantum Statistics of Harmonic OscillatorsJ. Naji0S. Heydari1R. Darabi2Physics Department, Ilam University, P.O. Box 69315-516, Ilam, IranYoung Researchers and Elite Club, Islamic Azad University, Mahabad, IranDepartment of Physics, Islamic Azad University, Ilam Branch, Ilam, IranWe consider noncommutative two-dimensional quantum harmonic oscillators and extend them to the case of twisted algebra. We obtained modified raising and lowering operators. Also we study statistical mechanics and thermodynamics and calculated partition function which yields the free energy of the system.http://dx.doi.org/10.1155/2014/103675 |
| spellingShingle | J. Naji S. Heydari R. Darabi Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators Advances in Mathematical Physics |
| title | Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators |
| title_full | Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators |
| title_fullStr | Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators |
| title_full_unstemmed | Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators |
| title_short | Twisted Conformal Algebra and Quantum Statistics of Harmonic Oscillators |
| title_sort | twisted conformal algebra and quantum statistics of harmonic oscillators |
| url | http://dx.doi.org/10.1155/2014/103675 |
| work_keys_str_mv | AT jnaji twistedconformalalgebraandquantumstatisticsofharmonicoscillators AT sheydari twistedconformalalgebraandquantumstatisticsofharmonicoscillators AT rdarabi twistedconformalalgebraandquantumstatisticsofharmonicoscillators |