proposition 99.24 Translations act correctly on the field
open in the book ·
parts/11-qft-standard-model/01-canonical-quantization.tex:1687
· p. 1874
Rests on
- depends_on equation 99.31 eq:canq-ladder ¶
- depends_on equation 99.34 eq:canq-momentum-modes ¶
-
depends_on
proposition 99.6
The Heisenberg equations reproduce the field
equation
¶
- depends_on equation 99.23 eq:canq-ccr ¶
- depends_on equation 99.24 eq:canq-ccr-zero ¶
- depends_on equation 99.21 eq:canq-scalar-hamiltonian ¶
- proves proof ch:01-canonical-quantization@proof-2 ¶
- proves proof ch:01-canonical-quantization@proof-12 ¶
Supports
- depends_on proposition 99.25 The one-quantum sector is an irreducible representation ¶
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:canq-ladder | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1692 |
depends_on |
→ | eq:canq-momentum-modes | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1692 |
depends_on |
→ | The Heisenberg equations reproduce the field equation | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1692 |
depends_on |
← | The one-quantum sector is an irreducible representation | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1723 |
proves |
← | ch:01-canonical-quantization@proof-12 | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1695 |