The Noncommutative Anandan's Quantum Phase

Details The Noncommutative Anandan's Quantum Phase The Noncommutative Anandan's Quantum Phase

2006-10-19

arxiv.org/abs/hep-th/0610222v2

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, revtex4, version to appear in Physical Review A

Scientific paper

10.1103/PhysRevA.76.012113

In this work we study the noncommutative nonrelativistic quantum dynamics of a neutral particle, that possesses permanent magnetic and electric dipole momenta, in the presence of an electric and magnetic fields. We use the Foldy-Wouthuysen transformation of the Dirac spinor with a non-minimal coupling to obtain the nonrelativistic limit. In this limit, we will study the noncommutative quantum dynamics and obtain the noncommutative Anandan's geometric phase. We analyze the situation where magnetic dipole moment of the particle is zero and we obtain the noncommutative version of the He-McKellar-Wilkens effect. We demonstrate that this phase in the noncommutative case is a geometric dispersive phase. We also investigate this geometric phase considering the noncommutativity in the phase space and the Anandan's phase is obtained.

Affiliated with

Also associated with

No associations

Rating

The Noncommutative Anandan's Quantum Phase does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Noncommutative Anandan's Quantum Phase, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Noncommutative Anandan's Quantum Phase will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361936