Physics 6453  Quantum Mechanics III (Nieves)
 Number of Credits: 3
 Prerequisites: Physics6452
 Jose F Nieves

Office: C317 (ext 4775)
University of Puerto Rico  Rio Piedras Campus
Department of Physics
Text
 Quantum Field Theory by F. Mandl and G. Shaw
Bibliography
 Scadron, Michael D. (1979). Advanced Quantum Theory, SpringerVerlag
 Fetter A. L. and Walecka J. D. (1971). Quantum Theory of Many Particle Systems
 Peskin, Michael E. and Schroeder Daniel V. (1996). An Introduction to Quantum Field Theory, Addison Wesley
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, a midterm exam and a final exam, with the following weights:
 Homework: 40%
 Midterm exam: 30%
 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 a third course in graduate quantum mechanics that builds on the material developed in Quantum Mechanics I and II. The goal is to develop and apply the methods required to study relativistic and many body quantum mechanical systems particles and fields.
Objectives
After completing this course the student will have a good background to carry out relativistic and manybody theory calculations in systems of practical interest.
Contents
 Systems of identical particles
 The simple harmonic oscillator
 Bosons and fermions
 Examples in Statistical Mechanics, ideal gas
 Quantum theory of radiation
 Classical electrodynamics
 Quantization of the EM field
 Radiative decays in atoms and Thomson scattering
 Fields
 Covariant classical electrodynamics
 Classical field theory
 Spin
 Second quantization of the Schrodinger equation: bosons and fermions
 Examples in Statistical Mechanics and Quantum Statistics
 Relativistic wave equations
 KleinGordon equation
 Weyl equation
 Dirac equation
 Proca equation
 Relativistic Freefield Theory
 KleinGordon field
 Dirac Field
 Photon field
 Propagator
 Interacting fields
 Perturbation theory
 Wick's theorem
 Feynman rules
RIGHTS OF STUDENTS WITH DISABILITIES
ACOMODO RAZONABLE
INTEGRIDAD ACADEMICA