proposition 25.29 Canonical commutation relations
open in the book ·
parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1085
· p. 885
Rests on
- depends_on equation 22.44 eq:ham-poisson-fundamental ¶
-
depends_on
postulate 25.27
Dirac's correspondence rule
¶
- depends_on equation 22.41 eq:ham-poisson-bracket ¶
-
depends_on
theorem 25.3
The bracket is a Lie bracket
¶
- depends_on equation 22.41 eq:ham-poisson-bracket ¶ ↺
- depends_on equation 22.56 eq:ham-symplectic-matrix ¶
- proves proof ch:08-poisson-quantum-bridge@proof-1 ¶
- proves proof ch:08-poisson-quantum-bridge@proof-11 ¶
Supports
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Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:ham-poisson-fundamental | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1094 |
depends_on |
→ | Dirac's correspondence rule | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1094 |
proves |
← | ch:08-poisson-quantum-bridge@proof-11 | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:1097 |