Approximate formula for the ground state energy of anyons in 2D parabolic well

Details Approximate formula for the ground state energy of anyons in 2D parabolic well Approximate formula for the ground state energy of anyons in 2D parabolic well

2000-12-22

arxiv.org/abs/cond-mat/0012423v1

Phys. Rev. B 68, 165105 (2003).

Physics

Condensed Matter

7 pages

Scientific paper

10.1103/PhysRevB.68.165105

We determine approximate formula for the ground state energy of anyons in 2D parabolic well which is valid for the arbitrary anyonic factor \nu and number of particles N in the system. We assume that centre of mass motion energy is not excluded from the energy of the system. Formula for ground state energy calculated by variational principle contains logarithmic divergence at small distances between two anyons which is regularized by cut-off parameter. By equating this variational formula to the analogous formula of Wu near bosonic limit (\nu ~ 0)we determine the value of the cut-off and thus derive the approximate formula for the ground state energy for the any \nu and N. We checked this formula at \nu=1, when anyons become fermions, for the systems containing two to thirty particles. We find that our approximate formula has an accuracy within 6%. It turns out, at the big number N limit the ground state energy has square root dependence on factor \nu.

Affiliated with

Also associated with

No associations

Rating

Approximate formula for the ground state energy of anyons in 2D parabolic well 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 Approximate formula for the ground state energy of anyons in 2D parabolic well, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximate formula for the ground state energy of anyons in 2D parabolic well will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-613952