Encuadernación: Rústica
Diagrammatic methods are applied to strongly interacting electron systems. Several problems are studied in the atomic representation. It is assumed that electron-electron interaction in an atom is stronger that the interaction between electrons belonging to different atoms. The theory of high-temperature superconductivity is considered in the Hubbard model. Then the theory of ferromagnetism in transition metals is also presented

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CHAPTER I. THE DIAGRAMMATIC TECHNIQUE FOR THE HUBBARD OPERATORS
1.The atomic representation
2.Commutation relations
3.The Wick theorem
4.The diagrammatic technique
5.Conclusions

CHAPTER II. TRANSITION TO THE ATOMIC REPRESENTATION
1.Three-level system
2.Shubin-Wonsowsky model-a four level system
3.The atomic representation of p-and d-electrons
4.Conclusions

CHAPTER III. MAGNETIC PROPERTIES IN THE HUBBARD MODEL
1. The one-loop approximation
2.The half-filled band
3.Paramagnetic properties of the metallic phase
4.Conclusions

CHAPTER IV. SUPERCONDUCTIVITY IN THE HUBBARD MODEL
1.Peculiarities of high-Tc superconductors
2.Calculation of the scattering amplitude at infinite Hubbard energy
3.Supercondonducting transition temperature
4.Taking account of relaxation processes
5.Finite Hubbard energies
6.Conclusions

CHAPTER V. SUPERCONDUCTIVITY IN A SYSTEM OF P-D ELECTRONS
1.Hamiltonian and formulation of the problem
2.Equation of state
3.Superconductivity criterion
4.Emery-Hirsch model
5.The phase diagram calculated inteh generalized p-d model
6.Conclusions

CHAPTER VI. FERROMAGNETISM IN TRANSITIION METALS
1.General relations
2.Ferromagnetism in nickel
3.Ferromagnetism in cobalt
4.Ferromagnetism in a-rion
5.The region 3<4; the one-loop approximation
6.Te region4<5; the one-loop approximation
7. Conclusions