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Spectrum and states of the BCS Hamiltonian with sources

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors
  1. D. Ya. Petrina
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Published in Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 9, pp. 1243–1269, September, 2008.

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Petrina, D.Y. Spectrum and states of the BCS Hamiltonian with sources. Ukr Math J 60, 1448–1476 (2008). https://doi.org/10.1007/s11253-009-0139-7

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  • DOI: https://doi.org/10.1007/s11253-009-0139-7

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