Geodesic
Exact solution of the BCS model
Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 227-238 
I. A. Bernadskii; R. A. Minlos. Exact solution of the BCS model. Teoretičeskaâ i matematičeskaâ fizika, Tome 12 (1972) no. 2, pp. 227-238. http://geodesic.mathdoc.fr/item/TMF_1972_12_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Interest continues to be evinced for rigorous mathematical derivations of results in the BCS model [1-7]. The present paper contains a further method of exact investigation of the BCS model; it is based on a special representation of this model's Hamiltonian. This representation enables one to transform the Hamiltonian into a second-order finitedifference operator which, in its turn, goes over in the thermodynamic limit into an elliptic differential operator that is readily amenable to investigation.

[1] N. N. Bogolyubov, Preprint R-511, OIYaI, 1960 | MR

[2] N. N. Bogolyubov, Physica, 26 (1960), 1 | DOI

[3] N. N. Bogolyubov (ml.), Ukr. matem. zh., 17 (1965), 3

[4] N. N. Bogolyubov (ml.), Vestn. MGU, 1966, no. 1, 94

[5] P. W. Anderson, Phys. Rev., 112 (1958), 1900 | DOI | MR

[6] R. A. Minlos, ZhETF, 50 (1966), 642

[7] E. Tareeva, Diss., MIAN SSSR, 1965

[8] Dzh. Bardin, L. Kuper, Dzh. Shriffer, Teoriya sverkhprovodimosti, Sb., IL, 1960

[9] N. N. Bogolyubov, V. V. Tolmachev, D. V. Shirkov, Novyi metod v teorii sverkhprovodimosti, Izd-vo AN SSSR, 1958

[10] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavleniya gruppy vraschenii i gruppy Lorentsa, Fizmatgiz, 1958