On the Jastrow Wave Function for N-Particles on a Plane

Details On the Jastrow Wave Function for N-Particles on a Plane On the Jastrow Wave Function for N-Particles on a Plane

1996-07-17

arxiv.org/abs/cond-mat/9607128v1

Physics

Condensed Matter

10 pages LaTeX, Phys. Lett. A to appear

Scientific paper

10.1016/S0375-9601(96)00716-5

The possibility of describing quantum mechanical particles on a plane by a Jastrow wave function is studied. We obtain the condition under which the particles interact through pair potentials. It is found that if the interparticle forces depend only on distance, then only the attractive harmonic pair potential is consistent with the Jastrow ansatz. We discuss some connections with wave functions encountered in the quantized Hall effect.

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