Spectrum and states of the BCS Hamiltonian with sources

• Published in: Український математичний журнал
• Date: 2008
• Main Author: Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164752
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectrum and states of the BCS Hamiltonian with sources / D.Ya. Petrina // Український математичний журнал. — 2008. — Т. 60, № 9. — С. 1243–1269. — Бібліогр.: 13 назв. — англ.

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 Hami...