Spectrum and states of the bcs hamiltonian in a finite domain. I. Spectrum

• Дата: 2000
• Автори: Petrina, D. Ya., Петрина, Д. Я.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2000
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4461
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...