Many-Body Green's Functions for Time-Dependent Problems
portes grátis
Many-Body Green's Functions for Time-Dependent Problems
Strinati, Giancarlo Calvanese
Cambridge University Press
03/2026
442
Dura
Inglês
9781009411547
15 a 20 dias
Descrição não disponível.
Part I. Normal Phase; 1. Introduction; 2. The Schroedinger and Heisenberg Representations; 3. Splitting the Hamiltonian: Heisenburg and Interaction Pictures; 4. Time-dependent Quantum and Ensemble Averages: Initial Preparation of the System; 5. Quantum Averages over the Ground State and Gell-Mann-Low Theorem; 6. The Contour Idea for Time-dependent Averages: Forward and Backward Branches; 7. Closed Time Path Green's Functions; 8. Dynamics for a Correlated Initial State and Various Kinds of Contours in the Complex Time Plane; 9. Perturbation Theory: Wick's Theorem for Strings of Operators Ordered Along a Contour; 10. Non-equilibrium Diagrammatics: Feynman Rules; 11. Non-equilibrium Dyson Equations; 12. Kubo-Martin-Schwinger Boundary Conditions; 13. Converting Contour-time to Real-time Arguments; 14. Langreth Rules: Convolutions and Products; 15. The Kadanoff-Baym Equations; 16. The T-matrix Approximation in the Normal Phase; 17. Contour Diagrammatic Structure in Terms of Functional Derivatives; 18. Beyond Linear-response Theory; 19. Time-dependent Hartree-Fock Approximation and Mean-field Decoupling; 20. Miscellany and Addenda to Part I; 21. Time-dependent Version of the BCS Hamiltonian: Gor'kov Equations for the Normal and Anomalous Single-particle Green's Functions; 22. The Hamiltonian in the Nambu Representation and Role of the Hartree-Fock-BCS Self-energy; 23. Contour-ordered Green's Functions in the Nambu Representation; 24. The T-matrix Approximation in the Superfluid Phase; 25. Derivation of the Time-dependent Bogoliubov-deGennes Equations; 26. A Brief Excursus to the BCS-BEC Crossover; 27. Analytic Continuation from the Imaginary to the Real Time Axis; 28. Derivation of the Time-dependent Gross-Pitaevskii Equation for Composite Bosons in the BEC Limit of the BCS-BEC Crossover; 29. Derivation of the Time-dependent Ginzburg-Landau (TDGL) Equation for Cooper pairs in the BCS Limit of the BCS-BEC Crossover; 30. Real-frequency Green's Functions from the Kadanoff-Baym Equations in the Equilibrium Case; 31. Miscellany and Addenda to Part II; 32. An Overview on Applications: Yesterday, Today, and Tomorrow; 33. Driven Open Quantum Systems; 34. Extension to Superfluid Fermi systems; 35. Connection between the Schwinger-Keldysh Closed-contour Approach and the Lindblad Master Equation; 36. State-of-the-art Numerical Methods; 37. Miscellany and Addenda to Part III.
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Part I. Normal Phase; 1. Introduction; 2. The Schroedinger and Heisenberg Representations; 3. Splitting the Hamiltonian: Heisenburg and Interaction Pictures; 4. Time-dependent Quantum and Ensemble Averages: Initial Preparation of the System; 5. Quantum Averages over the Ground State and Gell-Mann-Low Theorem; 6. The Contour Idea for Time-dependent Averages: Forward and Backward Branches; 7. Closed Time Path Green's Functions; 8. Dynamics for a Correlated Initial State and Various Kinds of Contours in the Complex Time Plane; 9. Perturbation Theory: Wick's Theorem for Strings of Operators Ordered Along a Contour; 10. Non-equilibrium Diagrammatics: Feynman Rules; 11. Non-equilibrium Dyson Equations; 12. Kubo-Martin-Schwinger Boundary Conditions; 13. Converting Contour-time to Real-time Arguments; 14. Langreth Rules: Convolutions and Products; 15. The Kadanoff-Baym Equations; 16. The T-matrix Approximation in the Normal Phase; 17. Contour Diagrammatic Structure in Terms of Functional Derivatives; 18. Beyond Linear-response Theory; 19. Time-dependent Hartree-Fock Approximation and Mean-field Decoupling; 20. Miscellany and Addenda to Part I; 21. Time-dependent Version of the BCS Hamiltonian: Gor'kov Equations for the Normal and Anomalous Single-particle Green's Functions; 22. The Hamiltonian in the Nambu Representation and Role of the Hartree-Fock-BCS Self-energy; 23. Contour-ordered Green's Functions in the Nambu Representation; 24. The T-matrix Approximation in the Superfluid Phase; 25. Derivation of the Time-dependent Bogoliubov-deGennes Equations; 26. A Brief Excursus to the BCS-BEC Crossover; 27. Analytic Continuation from the Imaginary to the Real Time Axis; 28. Derivation of the Time-dependent Gross-Pitaevskii Equation for Composite Bosons in the BEC Limit of the BCS-BEC Crossover; 29. Derivation of the Time-dependent Ginzburg-Landau (TDGL) Equation for Cooper pairs in the BCS Limit of the BCS-BEC Crossover; 30. Real-frequency Green's Functions from the Kadanoff-Baym Equations in the Equilibrium Case; 31. Miscellany and Addenda to Part II; 32. An Overview on Applications: Yesterday, Today, and Tomorrow; 33. Driven Open Quantum Systems; 34. Extension to Superfluid Fermi systems; 35. Connection between the Schwinger-Keldysh Closed-contour Approach and the Lindblad Master Equation; 36. State-of-the-art Numerical Methods; 37. Miscellany and Addenda to Part III.
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