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Part XI ›
Canonical Quantization of Fields
Canonical Quantization of Fields
foundations results +17 more equations +26 more phenomena owed depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) notation 99.1: Conventions of this chapter 99.1 Conventions of t… definition 99.4: Field, Lagrangian density, conjugate momentum 99.4 Field, Lagrangia… postulate 99.5: Canonical quantization of a scalar field 99.5 Canonical quanti… definition 99.7: Mode expansion of the free real scalar field 99.7 Mode expansion o… definition 99.11: Vacuum, Fock space, number operator 99.11 Vacuum, Fock spa… definition 99.14: Normal ordering 99.14 Normal ordering definition 99.17: Mode expansion of the complex scalar 99.17 Mode expansion o… definition 99.20: Charge conjugation on the free complex scalar 99.20 Charge conjugati… definition 99.27: Mode expansion of the Dirac field 99.27 Mode expansion o… definition 99.32: Time ordering and the two-point functions 99.32 Time ordering an… definition 99.37: Retarded and advanced Green functions 99.37 Retarded and adv… definition 99.40: Contraction 99.40 Contraction definition 99.43: Microcausality 99.43 Microcausality proposition 99.6: The Heisenberg equations reproduce the field
equation 99.6 The Heisenberg e… proposition 99.8: The ladder algebra 99.8 The ladder algeb… theorem 99.9: The free scalar Hamiltonian 99.9 The free scalar… proposition 99.10: The invariant measure and the relativistic
normalization 99.10 The invariant me… proposition 99.12: Normalization of the n-quantum states 99.12 Normalization of… proposition 99.16: The U(1) current and charge 99.16 The U(1) current… theorem 99.18: Energy and charge of the complex scalar 99.18 Energy and charg… proposition 99.21: Action of C on field and current 99.21 Action of C on f… theorem 99.22: Noether, for fields 99.22 Noether, for fie… proposition 99.23: Charges generate their symmetries 99.23 Charges generate… proposition 99.24: Translations act correctly on the field 99.24 Translations act… proposition 99.25: The one-quantum sector is an irreducible
representation 99.25 The one-quantum… theorem 99.28: Anticommutation is forced by positivity of the energy 99.28 Anticommutation… equation 99.16: eq:canq-euler-lagrange eq. (99.16) equation 99.18: eq:canq-scalar-lagrangian eq. (99.18) equation 99.21: eq:canq-scalar-hamiltonian eq. (99.21) equation 99.23: eq:canq-ccr eq. (99.23) equation 99.24: eq:canq-ccr-zero eq. (99.24) equation 99.28: eq:canq-dispersion eq. (99.28) equation 99.29: eq:canq-mode-phi eq. (99.29) equation 99.30: eq:canq-mode-pi eq. (99.30) equation 99.31: eq:canq-ladder eq. (99.31) equation 99.34: eq:canq-momentum-modes eq. (99.34) equation 99.37: eq:canq-invariant-measure eq. (99.37) equation 99.38: eq:canq-relativistic-normalization eq. (99.38) equation 99.46: eq:canq-zero-point-density eq. (99.46) phenomenon 99.3: Electron–positron pair creation 99.3 Electron–positro… phenomenon 99.29: The Pauli exclusion principle 99.29 The Pauli exclus… phenomenon 99.51: The Casimir force 99.51 The Casimir force pending : ch:01-canonical-quantization@pending-1 pending pending : ch:01-canonical-quantization@pending-2 pending pending : ch:01-canonical-quantization@pending-3 pending pending : ch:01-canonical-quantization@pending-4 pending The chain of Canonical Quantization of Fields: 46 of 89 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.