Geodesic
On~the model Hamiltonian of the theory of superconductivity
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 2, pp. 283-300

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The model Hamiltonian of the theory of superconductivity is investigated for an infinite volume and a complete study is made of its spectrum. The grand partition function is determined; the equation of state is found; and the existence of a phase transition from the normal to the superconducting s tare is proved. It is shown that in the limit $V=\infty$ the chain of equations for the Green's functions of the model Hamiltonian has two solutions – the free Green's functions and the Green's functions of the approximating Hamiltonian. 
@article{TMF_1972_10_2_a14,
     author = {D. Ya. Petrina and V. P. Yatsishin},
     title = {On~the model {Hamiltonian} of the theory of superconductivity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {283--300},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_10_2_a14/}
}
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D. Ya. Petrina; V. P. Yatsishin. On~the model Hamiltonian of the theory of superconductivity. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 2, pp. 283-300. http://geodesic.mathdoc.fr/item/TMF_1972_10_2_a14/