Quantum Field Theoretical Methods in Statistical Physics - 2nd Ed.

✍ Scribed by A. A. Abrikosov, L. P. Gorkov, I. Ye. Dzyaloshinski, Engl. Translation Ed.: D. ter Haar

• Publisher: Pergamon Press
• Year: 1965
• Tongue: English
• Leaves: 378
• Edition: 2
• Category: Library

✦ Synopsis

Classical quantum theoretical treatise about many particle systems. 2nd Edition by Pergamon Press 1965,
this electronic edition cleaned and indexed.
The first edition (1963) was titled: Method of Quantum Field Theory in Statistical Physics

✦ Table of Contents

Title page
Table of Contents
FOREWORD
PREFACE TO THE SECOND EDITION
TRANSLATION EDITOR'S NOTE
I. PROPERTIES OF MANY-PARTICLE SYSTEMS AT LOW TEMPERATURES
§ 1. Elementary excitations. Energy spectrum and properties of liquid He4 at low temperatures
§ 2. Fermi liquids
§ 3. Second quantisation
§ 4. Dilute Bose gas
§ 5. Dilute Fermi gas
II. QUANTUM FIELD THEORETICAL METHODS AT T = 0
§ 6. The interaction representation
§ 7. The Green function
§ 8. Basic principles of diagram techniques
§ 9. Rules for drawing diagrams for different types of interaction
§ 10. Dyson equation. The vertex part. Many-particle Green fnnctions
III. THE DIAGRAM TECHNIQUE AT FINITE TEMPERATURES
§ 11. Temperature-dependent Green functions
§ 12. Perturbation theory
§ 13. The diagram technique in coordinate space. Examples
§ 14. The diagram technique in momentum space
§ 15. The perturbation theory series for the thermodynamic potential
§ 16. Dyson equation. Many-particle Green functions
§ 17. Time-dependant Green functions G at finite temperatures.Analytic properties of the Green functions
IV. FERMI LIQUID THEORY
§ 18. Properties of the vertex part for small momentum transfer. Zero sound
§ 19. Effective mass. Connection between Fermi momentum andnumber of particles. Bose branches of the spectrum. Specificheat
§ 20. Special properties of the vertex part in the case where thetotal momentum of the colliding particles is small
§ 21. Electron-phonon interactions
§ 22. Some properties of a degenerate plasma
V. SYSTEM OF INTERACTING BOSONS
§ 23. Application of field theory methods to a system of bosons atabsolute zero
§ 24. Green functions
§ 25. Dilute non-ideal Bose gas
§ 26. Properties of the single-particle excitation spectrum close to its end-point
§ 27. Application of field theory methods to a system of interactingbosons at finite temperatures
VI. ELECTROlMAGNETIC RADIATION IN AN ABSORBING MEDIUM
§ 28. Radiation Green function in an absorbing medium
§ 29. Calculation of the dielectric constant
§ 30. Van der Waals forces in a non-uniform dielectric
§ 31. Molecular interaction forces between solids
VII. THEORY OF SUPERCONDUCTIVITY
§ 32. General introduction. Choice of model
§ 33. Cooper phenomenon. Instability of the ground state of a system of non-interacting fermions with respect to arbitrarily weak attractions between the particles
§ 34.System of fundamental equations for a superconductor
§ 35. Deduction of the superconductivity equations in the phonon model
§ 36. Thermodynamics of superconductors
§ 37. Supconductors in a weak electromagnetic field
§ 38. Properties of superconductorS close to the transition temperature in an arbitrary magnetic field
§ 39. Theory of superconducting alloys
VIII. TRANSPORT EQUATION FOR EXCITATIONS IN A FERMI LIQUID
§ 40. Non-equilibrium properties of a Fermi liquid
§ 41. The analytical properties of the vertex part
§ 42. Equation for the vertex part; transport equation
REFERENCES
INDEX