phenomenon 106.5 The Aharonov–Bohm effect

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:469 · p. 2160

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on equation 100.8 eq:qed-gauge-transformation ¶
depends_on theorem 106.3 Feynman's sum over histories ¶
- depends_on equation 106.1 eq:pathint-propagator-def ¶
- depends_on lemma 106.1 The short-time kernel ¶
  - depends_on corollary 8.15 Deformation of contours ¶
    - depends_on definition 6.17 Simply connected space ¶
      - depends_on definition 6.6 Continuous map ¶
      - depends_on definition 6.15 Path-connected space ¶
    - depends_on theorem 8.12 Cauchy ¶
      - depends_on equation 8.5 eq:cpx-cr ¶
      - depends_on theorem 7.131 Green ¶
      - proves proof ch:06-complex-analysis@proof-7 ¶
    - proves proof ch:06-complex-analysis@proof-9 ¶
  - depends_on lemma 106.2 Gaussian integrals ¶
    - depends_on equation 17.42 eq:ft-gaussian ¶
    - depends_on lemma 8.9 ML estimate ¶
      - depends_on equation 8.6 eq:cpx-contour-integral ¶
      - proves proof ch:06-complex-analysis@proof-4 ¶
    - proves proof ch:08-path-integral-quantization@proof-2 ¶
  - proves proof ch:08-path-integral-quantization@proof-1 ¶
- proves proof ch:08-path-integral-quantization@proof-3 ¶
proves proof ch:08-path-integral-quantization@proof-5 ¶

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type	direction	node	provenance	where
`cites`	→	Significance of Electromagnetic Potentials in the Quantum Theory	derived	parts/11-qft-standard-model/08-path-integral-quantization.tex:480
`depends_on`	→	eq:qed-gauge-transformation	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:481
`depends_on`	→	Feynman's sum over histories	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:481
`proves`	←	ch:08-path-integral-quantization@proof-5	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:484