Physics 8994  Special topics in Condensed Matter Physics: Field Theory Methods in Condensed Matter Physics (Nieves)
 Number of Credits: 3
 Prerequisites: Permission of the Graduate Committee
 Jose F Nieves

Office: C317 (ext 4775)
University of Puerto Rico  Rio Piedras Campus
Department of Physics
Text
 E. Fradkin (1991). Field Theories of Condensed Matter Physics (Frontiers in Physics, Addison Wesley).
 A. L. Fetter and J. D. Walecka (1971). Quantum theory of manyparticle systems (McGraw Hill)
Bibliography
 John W. Negele, Henri Orland. Quantum Many Particle Systems
 Gerald D. Mahan. Many Particle Physics
 E. M. Lifshitz and L. Pitaevskii. Physical Kinetics, Course of Theoretical Physics by Landau and Lifshitz: Volume 10. Pergamon
Minimum Required Facilities
 Traditional lecture room
Instructional Strategy
 Lectures
Student Evaluation
 Standard A to F grading system. Grading will depend on performance in periodic problem sets and a final exam, with the following weights:
 Homework: 70%
 Final exam: 30%
Homeworks
By all means you may work in groups on the homework assignments. Collaboration is an important part of learning and of scholarship in general. However, each student must turn in her or his own writeup of the solutions. If two individual writeups are nearly identical, neither will receive credit. In fairness to your fellow students, late homework will not be accepted.
Description
This is an introductory on the applications of field theory methods to many particle systems. The main topics to be discusses are: second quantisation and quantum field theory, the use Greenâ€™s functions for many body systems, derivation and use Feynman diagrams, linear response theory.
Objectives
After completing this course the student will have a good background to carry out basics quantum field theory calculations in systems of practical interest.
Contents
 Green functions
 in Classical Mechanics
 in Quantum Mechanics
 Green functions in Second quantization (Propagators in QFT)
 Photons
 Phonons
 Matter (NR)
 Perturbation theory
 Wick theorem
 Feynman diagrams
 Selfenergy
 Vertex function
 Effective Lagrangian
 Applications
 Dielectric constant of a plasma
 Plasma modes and plasma frequency
 Debye screening
 Interacting phonons
 External fields
RIGHTS OF STUDENTS WITH DISABILITIES
ACOMODO RAZONABLE
INTEGRIDAD ACADEMICA