English

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

Condensed Matter 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9607128,
  title  = {On the Jastrow Wave Function for N-Particles on a Plane},
  author = {A. Azhari and T. T. Truong},
  journal= {arXiv preprint arXiv:cond-mat/9607128},
  year   = {2009}
}

Comments

10 pages LaTeX, Phys. Lett. A to appear

R2 v1 2026-07-22T11:53:52.697Z