Spectral density method in quantum nonextensive thermostatistics and
magnetic systems with long-range interactions |
| |
Authors: | A Cavallo F Cosenza L De Cesare |
| |
Institution: | (1) Dipartimento di Fisica “E.R. Caianiello", Universita' degli Studi di Salerno, and INFM, Unita' di Salerno, via S. Allende, 84081 Baronissi (SA), Italy |
| |
Abstract: | 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 (SDM). 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/rp (
r is the distance between spins in the lattice). |
| |
Keywords: | 05 30 -d Quantum statistical mechanics 05 70 -a Thermodynamics 75 10 Jm Quantized spin models |
本文献已被 SpringerLink 等数据库收录! |
|