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July, 2001 Asymptotic behavior of scattering amplitudes in magnetic fields at large separation
Hiroshi T. ITO, Hideo TAMURA
J. Math. Soc. Japan 53(3): 645-668 (July, 2001). DOI: 10.2969/jmsj/05330645


Magnetic potentials have a direct significance to the motion of particles in quantum mechanics. This is known as the Aharonov-Bohm effect. We study this quantum property in the scattering by two magnetic fields at large separation in two dimensions. We derive the asymptotic formula of scattering amplitude when the distance between the centers of two fields goes to infinity. The result depends on the fluxes of fields and on incident and final directions. We here consider only the simple case that at least one of two fluxes is zero.


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Hiroshi T. ITO. Hideo TAMURA. "Asymptotic behavior of scattering amplitudes in magnetic fields at large separation." J. Math. Soc. Japan 53 (3) 645 - 668, July, 2001.


Published: July, 2001
First available in Project Euclid: 9 June 2008

zbMATH: 1067.78007
MathSciNet: MR1828974
Digital Object Identifier: 10.2969/jmsj/05330645

Primary: 81U05
Secondary: 35P25 , 81Q10

Keywords: Aharonov-Bohm effect , magnetic field , scattering amplitude

Rights: Copyright © 2001 Mathematical Society of Japan


Vol.53 • No. 3 • July, 2001
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