Analytic Results for N Particles with 1/r2 Interaction in Two Dimensions and an External Magnetic Field
The 2N-dimensional quantum problem of N particles (e.g., electrons) with interaction β/r2 in a two-dimensional parabolic potential ω0 (e.g., quantum dot), and magnetic field B, reduces exactly to solving a \(2N-4\)-dimensional problem which is independent of B and ω0. 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 two-dimensional, nonlinear potential of strength β, subject to a fictitious magnetic field Bfic~J, the relative angular momentum.
Physical Review Letters
- Pub Date:
- May 1995
- Condensed Matter
- To appear in Physical Review Letters (in press). RevTeX file. Two figures available from email@example.com or firstname.lastname@example.org