Lecturer: Nick Bonesteel
Office: A313 (Magnet Lab); 617 Keen (Physics Department)
Tel.: (850) 644-7805
E-mail: bonestee@magnet.fsu.edu

Description: In this course we will develop the method of diagrammatic perturbation theory for the many-body problem and cover some basic applications.  Following the main text (Negele and Orland), the functional integral approach will be used.

Prerequisites: Quantum Mechanics A&B, Statistical Mechanics.

Main Text: John W. Negele and Henri Orland, Quantum Many-Particle Systems (Addison-Wesley, 1988).  The course will cover Chapters 1,2,3 and 5 of this book.

Course Web Page: http://www.physics.fsu.edu/courses/Spring03/PHY5690/

Other Useful Texts:

• A.L. Fetter and J.D. Walecka, Quantum Theory of Many-Particle Systems, (McGraw-Hill, 1971).
  
• G.D. Mahan, Many-Particle Physics, (Plenum, 1990).
  
• A.A. Abrikosov, L.P. Gor'kov and I.E. Dyzaloshinski, Methods of Quantum Field Theory in Statistical Physics, (Oxford,1965). 

 
Course Topics:  

• Second Quantization.
• Coherent States and Grassmann Algebra.
• Functional Integral Formulation of the Many-Body Problem.
• Wick's Theorem and Diagrammatic Perturbation Theory at Finite Temperature.
• The Zero Temperature Limit.
• Physical Meaning of the Self Energy for Fermions.
  
• Linear Response and the Random-Phase Approximation.
• Other Applications (Time Permiting): Impurity Averaged Perturbation Theory, Anomalous Green's Functions and Superconductivity, etc.

• Ben Simons'  Lecture notes. (University of Cambridge)
  

• HW#1:  Problems 1-1, 1-6, 1-8, and 1-9 in Negele and Orland.  Due Mon. Jan. 27
• HW#2:  Postscript   PDF
• HW#3:  Postscript   PDF
• HW#4:  Postscript   PDF
• HW#5:  Postscript   PDF