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

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.

10 pages LaTeX, Phys. Lett. A to appear

References in corpus (4)

• Explicit Relation of Quantum Hall Effect and Calogero-Sutherland Model
• Analytic results for $N$ particles with $1/r^2$ interaction in two dimensions and an external magnetic field
• Fractional Exclusion Statistics and Two Dimensional Electron Systems
• Long-Distance Universality of Laughlin State and Calogero-Sutherland Model

Cited by in corpus (1)

• Calogero-Sutherland Type Models in Higher Dimensions