English

Test of a Jastrow-type wavefunction for a trapped few-body system in one dimension

Quantum Physics 2012-09-06 v1

Abstract

For a system with interacting quantum mechanical particles in a one-dimensional harmonic oscillator, a trial wavefunction with simple structure based on the solution of the corresponding two-particle system is suggested and tested numerically. With the inclusion of a scaling parameter for the distance between particles, at least for the very small systems tested here the ansatz gives a very good estimate of the ground state energy, with the error being of the order of ~1% of the gap to the first excited state.

Keywords

Cite

@article{arxiv.1209.0649,
  title  = {Test of a Jastrow-type wavefunction for a trapped few-body system in one dimension},
  author = {J. C. Cremon},
  journal= {arXiv preprint arXiv:1209.0649},
  year   = {2012}
}
R2 v1 2026-06-21T21:59:32.715Z