Time-Dependent BCS Hamiltonian and Gor’kov Equations
Abstract
This chapter considers the analog of the time-dependent Hartree–Fock (mean-field) decoupling treated in Part I and extends it to the broken-symmetry phase for superfluid fermions. Two coupled equations for the “normal” and “anomalous” time-dependent single-particle Green’s functions are obtained, which extend to nonequilibrium situations the equations originally obtained at equilibrium by Gor’kov, soon after the BCS original article on the theory of superconductivity. Accordingly, the time-dependent gap (order) parameter is also introduced.
Fields of Study & Subjects
Cold Atom Physics and Bose-Einstein Condensates
Physics of Superconductivity and Magnetism
Quantum many-body systems
Publication details
- Journal / source
- Cambridge University Press eBooks
- Pages
- 163–166
- Publication date
- 6 February 2026
- Document type
- Book chapter