BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form

• Date: 2004
• Main Authors: Petrina, D. Ya., Петрина, Д. Я.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3756
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Bogolyubov proved that the average energies (per unit volume) of the ground states for the BCS Hamiltonian and the approximating Hamiltonian asymptotically coincide in the thermodynamic limit. In the present paper, we show that this result is also true for all excited states. We also establish that,...