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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6935https://doi.org/10.4213/tmf6935 https://www.mathnet.ru/eng/tmf/v171/i3/p404
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