Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 404-416
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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.
@article{TMF_2012_171_3_a3,
author = {Z. Z. Alisultanov and R. P. Meylanov},
title = {Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {404--416},
publisher = {mathdoc},
volume = {171},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a3/}
}
TY - JOUR AU - Z. Z. Alisultanov AU - R. P. Meylanov TI - Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2012 SP - 404 EP - 416 VL - 171 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a3/ LA - ru ID - TMF_2012_171_3_a3 ER -
%0 Journal Article %A Z. Z. Alisultanov %A R. P. Meylanov %T Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type %J Teoretičeskaâ i matematičeskaâ fizika %D 2012 %P 404-416 %V 171 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a3/ %G ru %F TMF_2012_171_3_a3
Z. Z. Alisultanov; R. P. Meylanov. Some features of quantum statistical systems with an~energy spectrum of the~fractional-power type. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 404-416. http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a3/