The Born Scattering Amplitude of a Non-relativistic Spin One-half particle in an Aharonov-Bohm Potentia

Y. ROMIA; M. SHIKAKHWA

Article Details

The Born Scattering Amplitude of a Non-relativistic Spin One-half particle in an Aharonov-Bohm Potentia

Authors:

Y. ROMIA | M. SHIKAKHWA

Publisher:

TUBITAK

Journal:

Turkish Journal of Physics 2004 Vol.28 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

1/2004

Document Language:

Turkish

Document ID (Org No.):

2000761747

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101

Keywords:

Abstract:

 

The Born scattering amplitude of a non-relativistic spin  one-half particle in an Aharonov-Bohm potential is calculated up to  second order.  It is demonstrated that perturbation theory works well  for this model, in contrast with the case of scalar particles, thanks  to the spin-magnetic moment interaction term.  The first order  amplitude is shown to coincide with the exact amplitude when expanded  to the same order; the second order amplitude is finite and null.  The  polarized scattering cross section is found to be different from the  unpolarized one only if the incident particle has a spin component  perpendicular to the flux tube.

 

The Born scattering amplitude of a non-relativistic spin  one-half particle in an Aharonov-Bohm potential is calculated up to  second order.  It is demonstrated that perturbation theory works well  for this model, in contrast with the case of scalar particles, thanks  to the spin-magnetic moment interaction term.  The first order  amplitude is shown to coincide with the exact amplitude when expanded  to the same order; the second order amplitude is finite and null.  The  polarized scattering cross section is found to be different from the  unpolarized one only if the incident particle has a spin component  perpendicular to the flux tube.

Article Details

The Born Scattering Amplitude of a Non-relativistic Spin One-half particle in an Aharonov-Bohm Potentia

Authors:

Y. ROMIA | M. SHIKAKHWA

Publisher:

TUBITAK

Journal:

Turkish Journal of Physics 2004 Vol.28 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

1/2004

Document Language:

Turkish

Document ID (Org No.):

2000761747

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101

Turk. J. Phys.

28

(2004)

73-80. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.28

iss.2.

Issues

Article Details

The Born Scattering Amplitude of a Non-relativistic Spin One-half particle in an Aharonov-Bohm Potentia

Authors: Y. ROMIA | M. SHIKAKHWA

Publisher: TUBITAK

Journal: Turkish Journal of Physics 2004 Vol.28 Issue 2, pp.73-80

Document Type: Article

Publication Date: 1/2004

Document Language: Turkish

Document ID (Org No.): 2000761747

Frequency: Bimonthly

eISSN: 1303-6122

pISSN: 1300-0101

Turk. J. Phys.

28

(2004)

73-80. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.28

iss.2.

Issues

Authors:

Y. ROMIA | M. SHIKAKHWA

Publisher:

TUBITAK

Journal:

Turkish Journal of Physics 2004 Vol.28 Issue 2, pp.73-80

Document Type:

Article

Publication Date:

1/2004

Document Language:

Turkish

Document ID (Org No.):

2000761747

Frequency:

Bimonthly

eISSN:

1303-6122

pISSN:

1300-0101