NDLI: The Aharonov-Bohm wave and the Cornu spiral

Content Provider	Scilit
Author	Berry, M. V. Shelankov, A.
Copyright Year	1999
Description	Journal: Journal of Physics A: General Physics For flux , the Aharonov-Bohm wavefunction$ _{AB}$(r,) is represented exactly in terms of Fresnel integrals. Numerical evidence shows that in the complex$ _{AB}$ plane the wave clings to the Cornu spiral for all positions r except very close to the flux line, that is, the argument w(r,) of the Fresnel integrals is almost real. This is confirmed by deriving an asymptotic expansion for w in powers of 1/r.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/32/42/101/pdf
Ending Page	L455
Page Count	9
Starting Page	L447
ISSN	00223689
DOI	10.1088/0305-4470/32/42/101
Journal	Journal of Physics A: General Physics
Issue Number	42
Volume Number	32
Language	English
Publisher	IOP Publishing
Publisher Date	1999-10-13
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Mathematical Physics Particles and Fields Physics Cornu Spiral Aharonov Bohm Bohm Wave Fresnel Integrals Wavefunction Ab
Content Type	Text
Resource Type	Article

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The Aharonov-Bohm wave and the Cornu spiral