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QUANTUM FIELD THEORY – 230A

QUANTUM FIELD THEORY 230 AEric D HokerDepartment of Physics and AstronomyUniversity of California, Los Angeles, CA 900952004, October 3 Contents1 Relativity and QUANTUM mechanics .. Why QUANTUM FIELD THEORY ? .. Further conceptual changes required by relativity .. Some History and present significance of QFT .. 82 QUANTUM Mechanics A Classical Mechanics .. Principles of QUANTUM Mechanics .. QUANTUM Systems from classical mechanics .. QUANTUM systems associated with Lie algebras .. Appendix I : Lie groups, Lie algebras, representations .. Functional integral formulation .. 193 Principles of Relativistic QUANTUM FIELD The Lorentz and Poincar e groups and algebras.

Quantum mechanics may be formulated in two stages. 1. The principles of quantum mechanics, such as the definitions of states, observables, are general and do not make assumptions on whether the number of particles in the system is conserved during time evolution. 2. The specific dynamics of the quantum system, described by the Hamiltonian, may or

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