ANALYTIC RESULTS FOR N-PARTICLES WITH 1/R(2) INTERACTION IN 2 DIMENSIONS AND AN EXTERNAL MAGNETIC-FIELD

The 2N-dimensional quantum problem of N particles (e.g., electrons) with interaction /r2 in a two-dimensional parabolic potential 0 (e.g., quantum dot), and magnetic field B, reduces exactly to solving a (2N-4)-dimensional problem which is independent of B and 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 two-dimensional, nonlinear potential of strength, subject to a fictitious magnetic field BficJ, the relative angular momentum. © 1995 The American Physical Society.