Ground-State Energy and Green's Function for Reduced Hamiltonian for Superconductivity
Abstract
In their theory of superconductivity, Bardeen, Cooper, and Schrieffer made use of a reduced Hamiltonian which included only scattering of pairs of particles of opposite momentum and spin. It is shown that the solution they obtained by a variational method is correct to O(1n) for a large system. The single particle Green's function is derived and used to calculate the interaction energy.
- Publication:
-
Physical Review
- Pub Date:
- May 1960
- DOI:
- 10.1103/PhysRev.118.936
- Bibcode:
- 1960PhRv..118..936B