theorem 107.63 Alpha decay rate
open in the book ·
parts/11-qft-standard-model/09-nuclear-physics.tex:2620
· p. 2239
Rests on
- depends_on equation 9.93 eq:slt-wkb-coulomb-gamma ¶
-
depends_on
theorem 9.76
Semiclassical transmission through a barrier
¶
-
depends_on
corollary 9.62
The semiclassical wave
¶
- depends_on equation 9.62 eq:slt-wkb-ansatz ¶
- depends_on equation 9.61 eq:slt-wkb-kappa ¶
-
depends_on
proposition 9.61
Eikonal and transport equations
¶
- depends_on equation 9.64 eq:slt-wkb-series ¶
-
depends_on
proposition 9.60
Exact Riccati form
¶
- depends_on equation 9.62 eq:slt-wkb-ansatz ¶ ↺
- depends_on equation 9.60 eq:slt-wkb-normal-form ¶
- proves proof ch:07-odes-sturm-liouville@proof-30 ¶
- proves proof ch:07-odes-sturm-liouville@proof-31 ¶
- proves proof ch:07-odes-sturm-liouville@proof-32 ¶
-
depends_on
proposition 9.63
The transport equation is flux conservation
¶
- depends_on corollary 9.62 The semiclassical wave ¶ ↺
- proves proof ch:07-odes-sturm-liouville@proof-33 ¶
-
depends_on
theorem 9.72
Connection formulae
¶
- depends_on corollary 9.62 The semiclassical wave ¶ ↺
- depends_on equation 9.79 eq:slt-wkb-airy-ai ¶
- depends_on equation 9.80 eq:slt-wkb-airy-bi ¶
- depends_on equation 9.76 eq:slt-wkb-airy-equation ¶
- depends_on equation 9.74 eq:slt-wkb-airy-scale ¶
- proves proof ch:07-odes-sturm-liouville@proof-37 ¶
- proves proof ch:07-odes-sturm-liouville@proof-39 ¶
-
depends_on
corollary 9.62
The semiclassical wave
¶
- proves proof ch:09-nuclear-physics@proof-36 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:slt-wkb-coulomb-gamma | declared | parts/11-qft-standard-model/09-nuclear-physics.tex:2637 |
depends_on |
→ | Semiclassical transmission through a barrier | declared | parts/11-qft-standard-model/09-nuclear-physics.tex:2637 |
proves |
← | ch:09-nuclear-physics@proof-36 | declared | parts/11-qft-standard-model/09-nuclear-physics.tex:2640 |