DAMP Physics, IITB

PH 523 Quantum Mechanics 3 (Autumn 2017-18) Review 1: Instructor Name:  Kumar Rao Course Type:  Honours / Elective Pre-requisites:  QM-II is a recommended but not a necessary formal pre-requisite. The course runs in parallel to QM-II and the necessary things from QM-II are covered before they are needed in QM-III. Tensor algebra and special relativity are highly important informal pre-requisites. Course Content:  Maxwell's equations and basic electromagnetism in relativistic form, Lagrangian formulation in relativistic form, Klein-Gordon Equation, Dirac Equation, Solutions to Dirac equation in massless scenario and extension to massive cases, particle-antiparticle formalism, quantum field theory introduction, basic theory(eg - ABC theory) building, second quantisation, Feynman diagrams, propagators Lectures:  No attendance was taken but at the end of the semester he sent out an email to the people he did not find much in lectures threatening ...

Instructor Name Prof. Kumar Rao Course Type Elective Prerequisites Formally none, but suggested prerequisites would be QM I and Special Relativity, knowing QM II and Electromagnetic Theory also helps in some parts Topics 1.Review of Special Relativity 2.Relativistic Quantum Mechanics: (i) Preview of why a new approach is needed to replace the Schrodinger equation with a relativistically covariant equation and why probability interpretation fails (ii) Klein-Gordon Equation: Derivation, Interpretation as an equation for spin 0 particles, Charge Conjugation, Time Reversal, Two Component Formalism, Pionic Atom (iii) Dirac Equation: Derivation, Interpretation as an equation for spin 1/2 particles, Dirac, Majorana and Weyl spinors, Helicity and Chirality, Gamma Matrix Manipulations, Charge Conjugation, Time Reversal, Hole Interpretation of Positrons, Covariance of Dirac Equation, Bilinear Covariants 3. Scalar Field Theory: Introduction to Lagrangian Field Density, Noether Cu...