Model BCS Hamiltonian and Approximating Hamiltonian in the Case of Infinite Volume. IV. Two Branches of Their Common Spectra and States

• Published in: Український математичний журнал
• Date: 2003
• Main Author: Petrina, D.Ya.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163815
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Model BCS Hamiltonian and Approximating Hamiltonian in the Case of Infinite Volume. IV. Two Branches of Their Common Spectra and States / D.Ya. Petrina // Український математичний журнал. — 2003. — Т. 55, № 2. — С. 174–196. — Бібліогр.: 11 назв. — англ.

We consider the model and approximating Hamiltonians directly in the case of infinite volume. We show that each of these Hamiltonians has two branches of the spectrum and two systems of eigenvectors, which represent excitations of the ground states of the model and approximating Hamiltonians as well...