A. R. Kessel, R. R. Nigmatullin, A. A. Khamzin, N. A. Yakovleva, “A Few Exact Solutions for the Model of Equal Spin-Spin Interactions”, TMF, 145:3 (2005), 411–419; Theoret. and Math. Phys., 145:3 (2005), 1727

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 3, Pages 411–419
DOI: https://doi.org/10.4213/tmf1909 (Mi tmf1909)

This article is cited in 6 scientific papers (total in 6 papers)

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

A. R. Kessel^a, R. R. Nigmatullin^b, A. A. Khamzin^c, N. A. Yakovleva^a

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

Full-text PDF (193 kB) Citations (6)

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DOI: https://doi.org/10.4213/tmf1909

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

English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 3, Pages 1727–1735
DOI: https://doi.org/10.1007/s11232-005-0194-7

Bibliographic databases:

Language: Russian

Citation: A. R. Kessel, R. R. Nigmatullin, A. A. Khamzin, N. A. Yakovleva, “A Few Exact Solutions for the Model of Equal Spin-Spin Interactions”, TMF, 145:3 (2005), 411–419; Theoret. and Math. Phys., 145:3 (2005), 1727–1735

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1909

https://doi.org/10.4213/tmf1909

https://www.mathnet.ru/eng/tmf/v145/i3/p411

This publication is cited in the following 6 articles:

A. A. Khamzin, R. R. Nigmatullin, “The NMR line shape of a system of nuclear spins with equal spin–spin coupling constants”, Theoret. and Math. Phys., 167:1 (2011), 496–505
Khamzin A.M., Nigmatullin R.R., “Magnetic properties of magnetoactive spin clusters”, Zh Èksper Teoret Fiz, 111:6 (2011), 1028–1038
Khamzin A.A., Nigmatullin R.R., Alekhin A.P., Sitdikov A.S., Nikitin A.S., “The NMR line shape of magneto-active nanoclusters in moveable nano-containers with self-similar stochastic dynamics”, International Conference on Resonances in Condensed Matter: Altshuler100, Journal of Physics Conference Series, 324, 2011
Khamzin A.A., Sitdikov A.S., Nikitin A.S., “Dinamika sistemy yadernykh spinov s ravnymi konstantami spin-spinovykh vzaimodeistvii”, Izvestiya Rossiiskoi akademii nauk. Seriya fizicheskaya, 75:4 (2011), 611–616
A. A. Khamzin, R. R. Nigmatullin, “Thermodynamics of the model of equal spin–spin interactions”, Theoret. and Math. Phys., 165:1 (2010), 1371–1386
Fedorova, AV, “The NMR Line Shape of a Gas of Hydrogen Molecules in Nanopores”, Applied Magnetic Resonance, 35:4 (2009), 511

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	459
Full-text PDF :	234
References:	62
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