Classical Field Theory & Quantization: Books for Physics Masters Course

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SUMMARY

This discussion focuses on recommended literature for mastering Classical Field Theory and Quantization in a physics master's course. Key texts include "Field Quantization" by Greiner & Reinhardt, which is noted for its accessible approach and numerous solved exercises. Essential topics covered include Lagrangian and Hamiltonian formulations, Noether's theorem, canonical quantization of scalar fields, and the quantization of Dirac spinors. The discussion also highlights applications such as the interaction of radiation with matter and the theory of the photoelectric effect.

PREREQUISITES
  • Understanding of Lagrangian and Hamiltonian formulations in classical mechanics
  • Familiarity with Noether's theorem and its implications in physics
  • Knowledge of canonical quantization techniques for scalar fields
  • Basic concepts of gauge invariance and its role in field theory
NEXT STEPS
  • Study "Field Quantization" by Greiner & Reinhardt for foundational knowledge in quantum field theory
  • Explore canonical quantization of complex scalar fields and Dirac spinors
  • Research the implications of spontaneous symmetry breaking and the Goldstone model
  • Investigate the interaction of radiation with matter, focusing on the photoelectric effect and the Kramer-Heisenberg formula
USEFUL FOR

This discussion is beneficial for graduate students in physics, particularly those specializing in quantum field theory, as well as educators and researchers seeking comprehensive resources on classical field theory and its quantization.

mkbh_10
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Please recommend me some good books which will help me to study these topics in physics masters course .

Classical field theory: L & H formulations, eqns of motion,symmetries & invariance, noether's theorem

Field quantization:fock space decomposition, canonical quantization of real scalar field,complex scalar field, interpretation of quantized field

Radiation field : maxwell field, gauge invariance,canonical quantization using radiation gauge, ambiguities in quantization,their removal & lorentz gauge quantization

Dirac spinor field & its quantization , spontaneous symmetry breaking,goldstone model, higgs model

Applications : interaction of radiation with matter, plankcs law, Kramer Heisenberg formula , coherent & raman scattrng, theory of line width, elementary theory of photoelectric effect, non relativistic theory of lamb shift.
 
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I would recommend

Greiner & Reinhardt, Field Quantization. It has a gentler learning curve than many other QFT books and includes many solved exercises.
 

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