2017
Том 69
№ 6

All Issues

Spectrum and states of the BCS Hamiltonian with sources

Petrina D. Ya.

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Abstract

We consider the BCS Hamiltonian with sources, as proposed by Bogolyubov and Bogolyubov, Jr. We prove that the eigenvectors and eigenvalues of the BCS Hamiltonian with sources can be exactly determined in the thermodynamic limit. Earlier, Bogolyubov proved that the energies per volume of the BCS Hamiltonian with sources and the approximating Hamiltonian coincide in the thermodynamic limit.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 9, pp 1448-1476.

Citation Example: Petrina D. Ya. Spectrum and states of the BCS Hamiltonian with sources // Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1243–1269.

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