The AharonovCasher Effect for Particles of Arbitrary Spin.pdf
文本预览下载声明
hep-ph/9710433
7
9
9 The Aharonov-Casher Effect
1
t for Particles of Arbitrary Spin ∗
c
O
2
2 Ya.I.Azimov a, R.M.Ryndin b
1 Petersburg Nuclear Physics Institute
v
3 Gatchina, St.Petersburg, 188350, Russia
3 e-mail: a azimov@pa1400.spb.edu,
4
0 b ryndin@thd.pnpi.spb.ru
1
7
9
/
h
p
- Abstract
p
e
h The Aharonov-Casher (AC) effect for quantum motion of a neutral mag-
:
v netized particle in the electric field is believed to be a topological effect closely
i related to the known Aharonov-Bohm (AB) effect. We study how it depends
X
r on the spin of the particle involved. Duality of the AB and AC effects is
a demonstrated to exist only for two extreme spin (and magnetic moment) pro-
jections.
Classical consideration confirms the conclusion. Motion of a classical mag-
netized particle with generally oriented magnetic moment in the AC field
appears to be subjected to both forces and torques. Only for two special ori-
entations of the magnetic moment (same as in the quantum case) the motion
is effectively free and similar to the AB motion of a charged particle. Thus,
the AC effect is not really topological.
Presence of higher multipoles totally destroys the possible AB-AC duality.
1. The Aharonov-Bohm effect (ABE) [1], the first example of purely topological
显示全部