### 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 language | English (US) |
---|---|

Pages (from-to) | 4277-4280 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 74 |

Issue number | 21 |

DOIs | |

State | Published - 1995 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*74*(21), 4277-4280. https://doi.org/10.1103/PhysRevLett.74.4277

**Analytic results for N particles with 1/r2 interaction in two dimensions and an external magnetic field.** / Johnson, Neil F; Quiroga, Luis.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 74, no. 21, pp. 4277-4280. https://doi.org/10.1103/PhysRevLett.74.4277

}

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

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.

UR - http://www.scopus.com/inward/record.url?scp=4244062105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244062105&partnerID=8YFLogxK

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 -