Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part INormal Phase
- Part IIFermionic Superfluid Phase
- 21Time-Dependent BCS Hamiltonian and Gor’kov Equations
- 22The Hamiltonian in the Nambu Representation and the Role of the Hartree–Fock–BCS Self-Energy
- 23Contour-Ordered Green’s Functions in the Nambu Representation
- 24The T-matrix Approximation in the Superfluid Phase
- 25Derivation of the Time-Dependent Bogoliubov–deGennes Equations
- 26A Brief Excursus to the BCS–BEC Crossover
- 27Analytic Continuation from the Imaginary to the Real-Time Axis
- 28Derivation of the Time-Dependent Gross–Pitaevskii Equation for Composite Bosons in the BEC Limit of the BCS–BEC Crossover
- 29Derivation of the Time-Dependent Ginzburg–Landau Equation for Cooper Pairs in the BCS Limit of the BCS–BEC Crossover
- 30Real-Frequency Green’s Functions from the Kadanoff–Baym Equations in the Equilibrium Case
- 31Miscellany and Addenda to Part II
- Part IIIApplications
- Bibliography
- Index
24 - The T-matrix Approximation in the Superfluid Phase
from Part II - Fermionic Superfluid Phase
Published online by Cambridge University Press: 06 February 2026
Book contents
- Frontmatter
- Dedication
- Contents
- Author’s Note
- Part INormal Phase
- Part IIFermionic Superfluid Phase
- 21Time-Dependent BCS Hamiltonian and Gor’kov Equations
- 22The Hamiltonian in the Nambu Representation and the Role of the Hartree–Fock–BCS Self-Energy
- 23Contour-Ordered Green’s Functions in the Nambu Representation
- 24The T-matrix Approximation in the Superfluid Phase
- 25Derivation of the Time-Dependent Bogoliubov–deGennes Equations
- 26A Brief Excursus to the BCS–BEC Crossover
- 27Analytic Continuation from the Imaginary to the Real-Time Axis
- 28Derivation of the Time-Dependent Gross–Pitaevskii Equation for Composite Bosons in the BEC Limit of the BCS–BEC Crossover
- 29Derivation of the Time-Dependent Ginzburg–Landau Equation for Cooper Pairs in the BCS Limit of the BCS–BEC Crossover
- 30Real-Frequency Green’s Functions from the Kadanoff–Baym Equations in the Equilibrium Case
- 31Miscellany and Addenda to Part II
- Part IIIApplications
- Bibliography
- Index
Summary
This chapter considers the extension of the t-matrix approximation to the superfluid phase, for which it is convenient to restrict from the outset to a contact-type interparticle interaction. This is because, when addressing nonequilibrium (time-dependent) situations, the extension of the fermionic t-matrix approach from the normal to the superfluid phase requires a careful account for the Nambu indices in the two-particle channels, owing to the presence of the “anomalous” single-particle Green’s functions. The ladder approximation for the many-particle T-matrix is specifically considered.
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- Many-Body Green's Functions for Time-Dependent Problems , pp. 184 - 193Publisher: Cambridge University PressPrint publication year: 2026
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