TY - JOUR

T1 - Analytic results for N particles with 1/r2 interaction in two dimensions and an external magnetic field

AU - Johnson, Neil F.

AU - Quiroga, Luis

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevLett.74.4277

DO - 10.1103/PhysRevLett.74.4277

M3 - Article

AN - SCOPUS:4244062105

VL - 74

SP - 4277

EP - 4280

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 21

ER -