Path integral formulation of quantum mechanics and its application to elementary quantum systems. Aharanov-Bohm effect. Formal Scattering theory, interaction picture; S-matrix; Many-particle Green’s functions, propagator for various particles; relativistic wave equations - Klein-Gordon equation, Dirac equation, Lamb shift, Majorana Fermions. Introductory treatment of classical fields, quantization, Lorenz transformations, Wick's theorem, Feynman rules and Feynman diagrams. Particle processes, Matrix elements and cross sections for – Moller scattering, Pair production and annihilation, Bhabha scattering and Compton scattering. |
Text/Reference Books:
- Weinberg S., Quantum Field Theory, Vols. I, II, III, Cambridge University Press: Cambridge, UK
- Peskin M.E. and Schroeder D.V., Introduction to Quantum Field Theory, Addison-Wesley
- Halzen Francis, Martin Alan D., Quarks and Leptons: An Introductory Course in Modern Particle Physics, John Wiley & Sons, Singapore Pvt. Ltd. / Singapore
- Bjorken James D ., Drell Sidney D. , LSC Relativistic Quantum Mechanics (Pure & Applied Physics), McGraw-Hill Science/Engineering/Math.
- Bjorken James D. , Drell Sidney D. , Relativistic Quantum Fields, Dover Books on Physics
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