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

Neil F. Johnson, Luis Quiroga

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)4277-4280
Number of pages4
JournalPhysical Review Letters
Volume74
Issue number21
DOIs
StatePublished - Jan 1 1995

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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