Geodesic
Exact solution for the partition function of a system of interacting fermions
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 106-116 
M. P. Zhelifonov; B. S. Nikitin. Exact solution for the partition function of a system of interacting fermions. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 1, pp. 106-116. http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a8/
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     title = {Exact solution for the partition function of a~system of interacting fermions},
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     volume = {68},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_1_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A simple method for passing from lattice statistical models to systems of interacting fermions is proposed. Two systems of free fermions coupled by a four-particle interaction of one type are considered. The general properties of the model are investigated, and an exact solution to the problem is obtained for a specific case.

[1] Schultz T., Mattis D., Lieb E., Rev. Mod. Phys., 36 (1964), 856 | DOI | MR

[2] Srednicki M., Phys. Rev., 21 (1980), 2878–2884 | MR

[3] Samuel S., J. Math. Phys., 21 (1980), 2806–2821 | DOI | MR

[4] Berezin F. A., UMN, 24:3 (1969), 3–22 | MR

[5] Fradkin E. S., Shteingradt D. M., Nuovo Cim., 47A (1978), 115–138 | DOI | MR

[6] Plechko V. N., Preprint E17-84-23; Е17-84-469, ОИЯИ, Дубна, 1984

[7] Zhelifonov M. P., Phys. Lett., 82A (1981), 137–139 | DOI | MR

[8] Zhilifonov M. P., Phys. Lett., 104A (1984), 312–316 | DOI

[9] Montroll E. V., Prikladnaya kombinatornaya matematika, Mir, M., 1968, s. 9.

[10] Lyuksyutov I. F., Pokrovskii V. L., Khmelnitskii D. E., ZhETF, 69 (1975), 1817–1824