theorem 99.9 The free scalar Hamiltonian
open in the book ·
parts/11-qft-standard-model/01-canonical-quantization.tex:852
· p. 1865
Rests on
- depends_on equation 99.29 eq:canq-mode-phi ¶
- depends_on equation 99.30 eq:canq-mode-pi ¶
- depends_on equation 99.21 eq:canq-scalar-hamiltonian ¶
- proves proof ch:01-canonical-quantization@proof-4 ¶
Supports
- depends_on phenomenon 99.51 The Casimir force ¶
- depends_on theorem 99.18 Energy and charge of the complex scalar ¶
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-mode-phi | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:869 |
depends_on |
→ | eq:canq-mode-pi | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:869 |
depends_on |
→ | eq:canq-scalar-hamiltonian | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:869 |
depends_on |
← | The Casimir force | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:3266 |
depends_on |
← | Energy and charge of the complex scalar | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:1415 |
proves |
← | ch:01-canonical-quantization@proof-4 | declared | parts/11-qft-standard-model/01-canonical-quantization.tex:872 |