Basis Quantum Monte Carlo Calculation of 2-Fermion System in a 1 or 3-Dimensional Harmonic Potential.

Toru YAGIa* and Umpei NAGASHIMAb

aFaculty of Media Communication, Edogawa University
474 Komaki, Nagareyama, Chiba 270-0198, Japan
bResearch Institute for Computational Science (RICS), National Institute of Advanced Industrial Science and Technology (AIST)
1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan

(Received: May 7, 2009; Accepted for publication: August 28, 2009)

The ground state of 2 fermions trapped in a 1 or 3 dimensional harmonic potential was simulated with the Basis Quantum Monte Carlo (BQMC) Method. In the general Diffusion Quantum Monte Carlo Method, a guide function must be used to obtain the information about nodes of the system. However in the BQMC method, we were able to evaluate the ground state energy of the system including the anti-symmetry problem without any guide function. Some different methods for calculating the energy were used to obtain more accurate results for both the one and the three dimensional system.

Keywords: Quantum Monte Carlo method, Basis quantum Monte Carlo, Harmonic potential

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