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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2005 Volume 145, Number 3, Pages 411–419 (Mi tmf1909)

This article is cited in 6 papers

A Few Exact Solutions for the Model of Equal Spin-Spin Interactions

A. R. Kessela, R. R. Nigmatullinb, A. A. Khamzinc, N. A. Yakovlevaa

a Zavoisky Physical Technical Institute, Kazan Scientific Center of the Russian Academy of Sciences
b Kazan State University
c Kazan State Power Engineering University

Abstract: For the model of equal spin-spin interactions, we obtain exact Heisenberg expressions for the spin operator components and use them to find the relations that hold for spin operators appearing in the thermodynamic mean. We use the obtained exact relations for the means to describe the thermodynamics of the model under consideration.

Keywords: spin-spin interactions, Heisenberg equations of motion, thermodynamics.

Received: 21.04.2005

DOI: 10.4213/tmf1909


 English version:
Theoretical and Mathematical Physics, 2005, 145:3, 1727–1735

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© Steklov Math. Inst. of RAS, 2024