New second branch of the spectrum of the BCS Hamiltonian and a “pseudogap”

• Published in: Український математичний журнал
• Date: 2005
• Main Author: Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165899
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: New second branch of the spectrum of the BCS Hamiltonian and a “pseudogap” / D.Ya. Petrina // Український математичний журнал. — 2005. — Т. 57, № 11. — С. 1508–1533. — Бібліогр.: 17 назв. — англ.

The BCS Hamiltonian of superconductivity has the second branch of eigenvalues and eigenvectors. It consists of wave functions of pairs of electrons in ground and excited states. The continuous spectrum of excited pairs is separated by a nonzero gap from the point of the discrete spectrum that corres...