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

E. P. Nakhmedov·K. Morawetz·M. Ameduri·A. Yurtsever·C. Radehaus
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Abstract

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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E. P. Nakhmedov, K. Morawetz, M. Ameduri, A. Yurtsever, C. Radehaus. 2004-03-05. Exactly solvable model of three interacting particles in an external magnetic field. https://doi.org/10.1103/physrevb.67.205106

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