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This article is cited in 5 scientific papers (total in 5 papers)
Quantum statistical systems in $D$-dimensional space using a fractional derivative
Z. Korichi, M. Meftah University Kasdi Merbah Ouargla, Ouargla, Algeria
Abstract:
We investigate the thermodynamic properties of some quantum statistical systems with a fractional Hamiltonian in $D$-dimensional space. We calculate the partition function of the system of $N$ fractional quantum oscillators and the thermodynamic quantities associated with it. We consider the thermal and critical properties of both Bose and Fermi gases in the context of the fractional energy and described by a fractional derivative.
Keywords:
quantum system, partition function, fractional derivative, oscillator, Bose system, condensation, critical temperature, Fermi system, thermodynamic property.
Received: 23.11.2014 Revised: 05.03.2015
Citation:
Z. Korichi, M. Meftah, “Quantum statistical systems in $D$-dimensional space using a fractional derivative”, TMF, 186:3 (2016), 433–442; Theoret. and Math. Phys., 186:3 (2016), 374–382
Linking options:
https://www.mathnet.ru/eng/tmf8824https://doi.org/10.4213/tmf8824 https://www.mathnet.ru/eng/tmf/v186/i3/p433
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Abstract page: | 487 | Full-text PDF : | 147 | References: | 50 | First page: | 28 |
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