Scattering of a Charged Particle from a Hard Cylindrical Solenoid: Aharonov-Bohm Effect


Yilmaz O.

CHINESE JOURNAL OF PHYSICS, vol.52, no.4, pp.1203-1217, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 4
  • Publication Date: 2014
  • Doi Number: 10.6122/cjp.52.1203
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1203-1217
  • Çanakkale Onsekiz Mart University Affiliated: No

Abstract

The scattering amplitude f(k) (alpha, 0) of a charged particle from a long hard cylindrical solenoid is derived by solving the time independent Schrodinger equation on a double connected plane. The amplitude is expressed by a summation over the angular momentum quantum number m (partial wave summation). It is shown that only negative mechanical angular momenta, m + alpha < 0, contribute to the amplitude when the radius of the solenoid goes to the zero limit (alpha -> 0) without varying the magnetic induction flux alpha = Phi(B)/Phi(0) (flux line). The original Aharonov-Bohm result is obtained with this limit.