equation 26.4 eq:cd-canonical-hamiltonian
open in the book ·
parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:186
- part of a statement or proof
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Supports
-
depends_on
proposition 26.6
The canonical Hamiltonian is defined on the constraint
surface
¶
-
depends_on
definition 26.8
Total Hamiltonian
¶
- depends_on definition 26.16 Extended Hamiltonian ¶
-
depends_on
theorem 26.21
Properties of the Dirac bracket
¶
-
depends_on
postulate 26.47
Dirac quantization
¶
- depends_on definition 26.50 The BRST charge ¶
- depends_on proposition 26.48 Consistency of the state conditions ¶
-
depends_on
postulate 26.47
Dirac quantization
¶
-
depends_on
theorem 26.14
First-class constraints generate gauge transformations
¶
- depends_on definition 26.16 Extended Hamiltonian ¶ ↺
- depends_on postulate 26.47 Dirac quantization ¶ ↺
-
depends_on
theorem 26.17
Counting the physical degrees of freedom
¶
- depends_on corollary A.642 The constraints are first class ¶
- depends_on definition 26.23 Gauge conditions ¶
- depends_on proposition 26.32 Constraint structure of the free Maxwell field ¶
- depends_on proposition 26.34 Proca constraints are second class ¶
- depends_on proposition 26.29 Reparametrization invariance and the mass-shell constraint ¶
- depends_on theorem 26.42 The Hamiltonian structure of general relativity ¶
-
depends_on
definition 26.8
Total Hamiltonian
¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The canonical Hamiltonian is defined on the constraint surface | declared | parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:193 |