proposition 25.25 Noncommuting coordinates and the Landau degeneracy
open in the book ·
parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:967
· p. 884
Rests on
- depends_on equation 25.28 eq:pq-landau-bracket ¶
-
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-10 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:pq-landau-bracket | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:983 |
depends_on |
→ | Dirac's correspondence rule | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:983 |
proves |
← | ch:08-poisson-quantum-bridge@proof-10 | declared | parts/03-classical-mechanics/08-poisson-quantum-bridge.tex:986 |