Quantization of Systems with Constraints

The following sections are included:

• Introductory Remarks

• Constraints: How they arise

  • Singular Lagrangians

• The Hamiltonian of Singular Systems

• Persistence of Constraints in Course of Time

• Constraints as Generators of a Gauge Group

• Gauge Fixing and Dirac Quantization

• The Formalism of Dirac Quantization

  • Poisson and Dirac brackets in field theory

• Dirac Quantization of Free Electrodynamics

• Faddeev–Jackiw Canonical Quantization

  • The method of Faddeev and Jackiw