Green functions based on Tsallis nonextensive statistical mechanics: normalized q-expectation value formulation

E.K. Lenzi, R.S. Mendes and A.K. Rajagopal

Physica A: Statistical Mechanics and its Applications, 2000, vol. 286, issue 3, 503-517

Abstract: In this paper, the Green function theory of quantum many-particle systems recently presented is reworked within the framework of nonextensive statistical mechanics with a new normalized q-expectation values. This reformulation introduces a renormalization of temperature of the earlier theory and a self-consistency condition. The importance of these two features is nontrivial and to emphasize this, we explicitly contrast the maximum entropy density matrices derived for an exactly solvable model based on the two types of the constraints. The linear response theory is also presented, along with its two-particle Green function version. In order to emphasize the importance of the new formalism, we collect here the results where both the formalisms have been used to examine the same set of problems. This reveals clearly that the new formalism is the method of choice because the numerical results are much more physically meaningful than those found in the old version, even though the general features or the answers retain the same characteristics in certain cases. In the case where thermodynamic entities are to be examined as in the case of the q-dependence of Bose–Einstein condensation, the self-consistent requirement in the new formalism is numerically much more subtle, and thus the earlier results are modified as shown in Fig. 1.

Date: 2000
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437100003642
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:286:y:2000:i:3:p:503-517

DOI: 10.1016/S0378-4371(00)00364-2

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().