The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space
We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner’s, P-, and Husimi’s. We show that, for all of them, the ensuing semiclassical entropy...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/145684 |
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| author | F. Pennini A. Plastino M. C. Rocca |
| author_facet | F. Pennini A. Plastino M. C. Rocca |
| author_sort | F. Pennini |
| collection | DOAJ |
| description | We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner’s, P-, and Husimi’s. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P-distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat. |
| format | Article |
| id | doaj-art-46e8af1174184c24b3bb6f99f598f3bf |
| institution | DOAJ |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-46e8af1174184c24b3bb6f99f598f3bf2025-08-20T02:39:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/145684145684The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase SpaceF. Pennini0A. Plastino1M. C. Rocca2Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Avenida Peru 151, Santa Rosa, 6300 La Pampa, ArgentinaInstituto de Física La Plata-CCT-CONICET, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, ArgentinaInstituto de Física La Plata-CCT-CONICET, Universidad Nacional de La Plata, C.C. 727, 1900 La Plata, ArgentinaWe focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner’s, P-, and Husimi’s. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P-distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.http://dx.doi.org/10.1155/2015/145684 |
| spellingShingle | F. Pennini A. Plastino M. C. Rocca The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space Advances in Mathematical Physics |
| title | The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space |
| title_full | The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space |
| title_fullStr | The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space |
| title_full_unstemmed | The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space |
| title_short | The Thermal Statistics of Quasi-Probabilities’ Analogs in Phase Space |
| title_sort | thermal statistics of quasi probabilities analogs in phase space |
| url | http://dx.doi.org/10.1155/2015/145684 |
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