Spectrum and states of the BCS Hamiltonian in a finite domain. I. Spectrum

• Published in: Український математичний журнал
• Date: 2000
• Main Author: Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2000
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157719
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Spectrum and states of the BCS Hamiltonian in a finite domain. I. Spectrum / D.Ya.Petrina // Український математичний журнал. — 2000. — Т. 52, № 5. — С. 667–689. — Бібліогр.: 15 назв. — англ.

The BCS Hamiltonian in a finite cube with periodic boundary condition is considered. The special subspace of pairs of particles with opposite momenta and spin is introduced. It is proved that, in this subspace, the spectrum of the BCS Hamiltonian is defined exactly for one pair, and for n pairs the...