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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 186, Number 3, Pages 433–442
DOI: https://doi.org/10.4213/tmf8824 (Mi tmf8824) 		 
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
Full-text PDF (400 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf8824
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
English version:
Theoretical and Mathematical Physics, 2016, Volume 186, Issue 3, Pages 374–382
DOI: https://doi.org/10.1134/S0040577916030065
Bibliographic databases:
Document Type: Article
PACS: 03.65.-w, 03.65. Db, 05.30.-d, 05.40. Fb
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v186/i3/p433
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:48
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