1209.0649 (J. C. Cremon)

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

J. C. Cremon

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.

View original: http://arxiv.org/abs/1209.0649