16/01/2006-Generalities; Lagrangean mechanics; Least action principle; Symmetry; Noether Theorem; Hamilton dynamics: [1]; [2]; [3]
17/01/2006-Special Relativity; Minkowski spacetime; Coordinate Transformation; Symmetry of a space; Infinitesimal Transformation; Killing equation; Killing vector fields of Minkowski spacetime; Finite Lorentz transformation; Classical fields; Lie Brackets; Action for relativistic particle; Assignment 1: [1]; [2]; [3]
23/01/2006-Classical field theory; EOM from action principle; Conditions on actions; Euler-Lagrange equations; Noether theorem; Internal Symmetries; Coleman-Mandula theorem [1]; [2]; [3]
24/01/2006-Assignment 2; Functional derivatives; Integral derivatives; Quantum field theory: Action, conjugate momentum, hamiltonian, hamilton equations, Poisson Bracket; Quantization: commutation relations, wave function; Schroendinger eqn, normalization, ground state, excited states: [1]; [2]
30/01/2006- Path integral; Time ordering operation; Generating functinal; Dynamics of the generating functional [1]; [2]
31/01/2006-Assignment 3; Green function for the wave operator; 2-point and 4-point amplitudes; i\epsilon prescription; euclidian space: [1]; [2]
06/02/2006-Spectral representation; Its assumptions: 1)Translation invariance, 2) Lorentz invariance, 3) Asymptotic completeness; LSZ reduction formula: [1]; [2]; [3]
07/02/2006-Perturbation theory; Euclidian Path integral; Saddle point approximation to path integral (asymptotic expansion): [1]; [2]

To follow the path:
look to the master,
follow the master,
walk with the master,
see through the master,
become the master.

Zen Poem