Spectrum and states of the BCS Hamiltonian with sources

Authors

  • D. Ya. Petrina

Abstract

We consider the BCS Hamiltonian with sources, as proposed by Bogolyubov and Bogolyubov, Jr. We prove that the eigenvectors and eigenvalues of the BCS Hamiltonian with sources can be exactly determined in the thermodynamic limit. Earlier, Bogolyubov proved that the energies per volume of the BCS Hamiltonian with sources and the approximating Hamiltonian coincide in the thermodynamic limit.

Published

25.09.2008

Issue

Section

Research articles

How to Cite

Petrina, D. Ya. “Spectrum and States of the BCS Hamiltonian With Sources”. Ukrains’kyi Matematychnyi Zhurnal, vol. 60, no. 9, Sept. 2008, pp. 1243–1269, https://umj.imath.kiev.ua/index.php/umj/article/view/3240.