Scalar and Vector fields, Classical Lagrangian field theory, Euler Lagrange's equation, Lagrangian density for electromagnetic field. Occupation number representation for simple harmonic oscillator, linear array of coupled oscillators.
12.00
Unit II:
II
Second quantization of identical bosons, second quantization of the real Klein-Gordon Field and Complex Klein-Gordan field, the meson propagator.
12.00
Unit III:
III
The occupation number representation for fermions, second quantization of the Dirac field, the fermion propagator, the em interaction and gauge invariance, covariant quantization of the free electromagnetic field, the photon propagator.
12.00
Unit IV:
IV
S-matrix, S-matrix expansion, Wick's theorem, Diagrammatic representation in configuration space, the momentum representation, Feynman diagrams of basic processes, Feynman rules of QED.
12.00
Unit V:
V
Applications of S-matrix formalism: The Coulomb scattering, Bhabha scattering, Moller scattering, Compton scattering and Pair production.
References:
1.Quantum Field Theory by F. Mandal & G. Shaw (Honh-Wiley).
2.Relativistic Quantum Mechanics by J.D. Bjorken & S. Drell (McGraw Hill Book Co.).
3.Advanced Quantum Mechanics by J.J. Sakaurai.
4.Element of Advanced Quantum Theory by J.M. Ziman. (Cambridge University Press).
