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

@article{Johnson1995AnalyticRF,
  title={Analytic results for N particles with 1/r2 interaction in two dimensions and an external magnetic field.},
  author={Johnson and Quiroga},
  journal={Physical review letters},
  year={1995},
  volume={74 21},
  pages={
          4277-4280
        }
}
  • Johnson, Quiroga
  • Published 10 April 1995
  • Physics, Medicine
  • Physical review letters
The $2N$-dimensional quantum problem of $N$ particles (e.g. electrons) with interaction $\beta/r^2$ in a two-dimensional parabolic potential $\omega_0$ (e.g. quantum dot) and magnetic field $B$, reduces exactly to solving a $(2N-4)$-dimensional problem which is independent of $B$ and $\omega_0$. An exact, infinite set of relative mode excitations are obtained for any $N$. The $N=3$ problem reduces to that of a ficticious particle in a two-dimensional, non-linear potential of strength $\beta… 
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