Microscopic and macroscopic properties of A-superstatistics
- Author
- Tchavdar Palev, Nedialka Stoilova (UGent) and Joris Van der Jeugt (UGent)
- Organization
- Abstract
- The microscopic and the macroscopic properties of A-superstatistics, related to the class A (0, n - 1) drop sl (1\n) of simple Lie superalgebras are investigated. The algebra sl (I In) is described in terms of generators f(1)(+/-),...,f(n)(+/-), which satisfy certain triple relations and are called Jacobson generators. The Fock spaces of A-superstatistics are investigated and the Pauli principle of the corresponding statistics is formulated. Some thermal properties of A-superstatistics are constructed under the assumption that the particles interact only via statistical interaction imposed by the Pauli principle. The grand partition function and the average number of particles are written down explicitly in the general case and in two particular examples: (1) the particles have one and the same energy and chemical potential; (2) the energy spectrum of the orbitals is equidistant.
- Keywords
- LIE-ALGEBRAS, STATISTICS, REPRESENTATIONS, QUANTIZATION, SYSTEMS, REALIZATIONS
Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-208755
- MLA
- Palev, Tchavdar, et al. “Microscopic and Macroscopic Properties of A-Superstatistics.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 36, no. 25, 2003, pp. 7093–112, doi:10.1088/0305-4470/36/25/313.
- APA
- Palev, T., Stoilova, N., & Van der Jeugt, J. (2003). Microscopic and macroscopic properties of A-superstatistics. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 36(25), 7093–7112. https://doi.org/10.1088/0305-4470/36/25/313
- Chicago author-date
- Palev, Tchavdar, Nedialka Stoilova, and Joris Van der Jeugt. 2003. “Microscopic and Macroscopic Properties of A-Superstatistics.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 36 (25): 7093–7112. https://doi.org/10.1088/0305-4470/36/25/313.
- Chicago author-date (all authors)
- Palev, Tchavdar, Nedialka Stoilova, and Joris Van der Jeugt. 2003. “Microscopic and Macroscopic Properties of A-Superstatistics.” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 36 (25): 7093–7112. doi:10.1088/0305-4470/36/25/313.
- Vancouver
- 1.Palev T, Stoilova N, Van der Jeugt J. Microscopic and macroscopic properties of A-superstatistics. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. 2003;36(25):7093–112.
- IEEE
- [1]T. Palev, N. Stoilova, and J. Van der Jeugt, “Microscopic and macroscopic properties of A-superstatistics,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 36, no. 25, pp. 7093–7112, 2003.
@article{208755,
abstract = {{The microscopic and the macroscopic properties of A-superstatistics, related to the class A (0, n - 1) drop sl (1\n) of simple Lie superalgebras are investigated. The algebra sl (I In) is described in terms of generators f(1)(+/-),...,f(n)(+/-), which satisfy certain triple relations and are called Jacobson generators. The Fock spaces of A-superstatistics are investigated and the Pauli principle of the corresponding statistics is formulated. Some thermal properties of A-superstatistics are constructed under the assumption that the particles interact only via statistical interaction imposed by the Pauli principle. The grand partition function and the average number of particles are written down explicitly in the general case and in two particular examples: (1) the particles have one and the same energy and chemical potential; (2) the energy spectrum of the orbitals is equidistant.}},
author = {{Palev, Tchavdar and Stoilova, Nedialka and Van der Jeugt, Joris}},
issn = {{0305-4470}},
journal = {{JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL}},
keywords = {{LIE-ALGEBRAS,STATISTICS,REPRESENTATIONS,QUANTIZATION,SYSTEMS,REALIZATIONS}},
language = {{eng}},
number = {{25}},
pages = {{7093--7112}},
title = {{Microscopic and macroscopic properties of A-superstatistics}},
url = {{http://doi.org/10.1088/0305-4470/36/25/313}},
volume = {{36}},
year = {{2003}},
}
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