Analytic Results for N Particles with 1/r^{2} Interaction in Two Dimensions and an External Magnetic Field
Abstract
The 2Ndimensional quantum problem of N particles (e.g., electrons) with interaction β/r^{2} in a twodimensional parabolic potential ω_{0} (e.g., quantum dot), and magnetic field B, reduces exactly to solving a \(2N4\)dimensional problem which is independent of B and ω_{0}. An exact, infinite set of relative mode excitations are obtained for any N. The N = 3 problem reduces to that of a fictitious particle in a twodimensional, nonlinear potential of strength β, subject to a fictitious magnetic field B_{fic}~J, the relative angular momentum.
 Publication:

Physical Review Letters
 Pub Date:
 May 1995
 DOI:
 10.1103/PhysRevLett.74.4277
 arXiv:
 arXiv:condmat/9504025
 Bibcode:
 1995PhRvL..74.4277J
 Keywords:

 Condensed Matter
 EPrint:
 To appear in Physical Review Letters (in press). RevTeX file. Two figures available from n.johnson@physics.oxford.ac.uk or lquiroga@cdcnet.uniandes.edu.co