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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 3, Pages 404–416
DOI: https://doi.org/10.4213/tmf6935 (Mi tmf6935) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Some features of quantum statistical systems with an energy spectrum of the fractional-power type

Z. Z. Alisultanova, R. P. Meylanovb

a Prokhorov General Physics Institute, RAS, Moscow, Russia
b Daghestan State University, Makhachkala, Daghestan, Russia
Full-text PDF (403 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf6935
Abstract: We derive and investigate the equation of state for a system with a fractional-power spectrum and also derive an expression for the density of states in such systems. We consider a fractional-differential model of electron–phonon interaction.
Keywords: fractional-order derivative, equation of state, nonlocality.
Received: 05.08.2011
Revised: 08.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 3, Pages 769–779
DOI: https://doi.org/10.1007/s11232-012-0073-y
Bibliographic databases:
Language: Russian
Citation: Z. Z. Alisultanov, R. P. Meylanov, “Some features of quantum statistical systems with an energy spectrum of the fractional-power type”, TMF, 171:3 (2012), 404–416; Theoret. and Math. Phys., 171:3 (2012), 769–779
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6935
  • https://www.mathnet.ru/eng/tmf/v171/i3/p404
    • This publication is cited in the following 10 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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