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2 results

  • 6 - Quantization

  • from PART I - Basics
  • Michel Talagrand
  • Book:
    What Is a Quantum Field Theory?
    Published online:
    22 February 2022
    Print publication:
    17 March 2022, pp 145-175

  • Summary

    We provide the briefest introduction to Lagrangian and Hamiltonian Mechanics, and we explore several routes by which the physicists argue that the massive scalar field is a quantization of a natural classical field, the Klein-Gordon field.

  • 5 - Lagrangeans and the Notion of Field; Electromagnetism as a Field Theory

  • from Part I - General Properties of Fields; Scalars and Gauge Fields
  • Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
  • Book:
    Classical Field Theory
    Published online:
    04 March 2019
    Print publication:
    14 March 2019, pp 46-53

  • Summary

    We define the notion of field, based on the example of electromagnetism. We write the relativistically covariant form of the Maxwell's equations in terms of a gauge field and field strength for it. We define the Euler–Lagrange equations for a field, and based on it, we derive the relativistic Maxwell's equations from a relativistically invariant Maxwell action.