Variational Monte Carlo of a 2D quantum well system

Authors

Ryan Sandagon; Ronald S. Banzon; Cristine Villagonzalo

Source

Proceedings of the 22nd Samahang Pisika ng Pilipinas Physics Congress, Bohol Tropics Resort, Tagbilaran City, 25–27 Oct 2004, 153.

Abstract

The convergence of a Variational Monte Carlo method with Gaussian importance sampling (VMC-GIS), as applied to a two-dimensional time-independent quantum well, was improved by optimizing the standard deviation σ of the Gaussian probability distribution. The fastest convergence in attaining the ground state is obtained by using VMC-GIS with σ=0.6 .