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

Yilmaz O.

CHINESE JOURNAL OF PHYSICS, cilt.52, sa.4, ss.1203-1217, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Konu: 4
  • Basım Tarihi: 2014
  • Doi Numarası: 10.6122/cjp.52.1203
  • Sayfa Sayıları: ss.1203-1217


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.