On the Jastrow Wave Function for N-Particles on a Plane
A. Azhari, T. T. Truong
TL;DR
This paper investigates the applicability of the Jastrow wave function to N-particles on a plane, identifying conditions for pairwise interactions and linking to quantum Hall wave functions.
Contribution
It establishes that only the attractive harmonic pair potential is compatible with the Jastrow ansatz for distance-dependent forces.
Findings
Only attractive harmonic potential is compatible with Jastrow wave function.
Conditions for pairwise interactions derived for particles on a plane.
Connections made to wave functions in the quantum Hall effect.
Abstract
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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