Many Body Theory

Recommended Prerequisites

Quantum Mechanics and Statistical Physics.

Teaching Methods

Expository teaching focused on the methods and techniques used in the calculation of the properties of diferent physical many-body systems, establishing relationshinps between the methods when indicated. Numerical applications.

Learning Outcomes

To learn the theory and technique used in the study of quantum many-body systems and their application to diferente finite and infinite physical systems.

Work Placement(s)

No

Syllabus

1) Systems of Identical Particles.

2) Second quantization formalismo.

3) Density operators.

4) The Hartree-Fock approximation.

5) The homogeneous electron gas in the Hartree-Fock approximation.

6) Density funcitional theory.

7) Superfluidity: BCS model.

8) Linear response theory and collective modes.

9) Green’s functin and perturbation theory.

10) Hydrodynamical models: Boltzmann equation.

Head Lecturer(s)

Orlando Olavo Aragão Aleixo e Neves de Oliveira

Assessment Methods

Assessment
Project: 40.0%
Resolution Problems: 60.0%

Bibliography

- Enrico Lipparino, Modern Many-Particle Physics, World Scientific, 2003
- E. K. Gross, E. Runge e O. Heinonen, Many Particle Theory, Adam Hilger, 1991
- A. L. Fetter e J. D. Walecka, Quantum Theory of Many-Particle Systems, McGraw Hill,
- P. Ring e P. Schuck, Nuclear Many Body Theory, Springer, 1980