Exactly solvable model of three interacting particles in an external magnetic field

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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8 pages 3 figures

Scientific paper

10.1103/PhysRevB.67.205106

The quantum mechanical problem of three identical particles, moving in a plane and interacting pairwise via a spring potential, is solved exactly in the presence of a magnetic field. Calculations of the pair--correlation function, mean distance and the cluster area show a quantization of these parameters. Especially the pair-correlation function exhibits a certain number of maxima given by a quantum number. We obtain Jastrow pre-factors which lead to an exchange correlation hole of liquid type, even in the presence of the attractive interaction between the identical electrons.

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