Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-09-29
Physics
Condensed Matter
Statistical Mechanics
Contribution to Next-SigmaPhi conference in Kolymbari, Crete, Greece, August 13-18, 2005, 9 pages
Scientific paper
10.1140/epjb/e2006-00132-y
Motived by the necessity of explicit and reliable calculations, as a valid contribution to clarify the effectiveness and, possibly, the limits of the Tsallis thermostatistics, we formulate the Two-Time Green Functions Method in nonextensive quantum statistical mechanics within the optimal Lagrange multiplier framework, focusing on the basic ingredients of the related Spectral Density Method. Besides, to show how the SDM works we have performed, to the lowest order of approximation, explicit calculations of the low-temperature properties for a quantum $d$-dimensional spin-1/2 Heisenberg ferromagnet with long-range interactions decaying as $1/r^{p}$ ($r$ is the distance between spins in the lattice)
Cavallo Anna
Cesare L. de
Cosenza F.
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