R. Bianchi et al., ANTISYMMETRY IN THE QUANTUM MONTE-CARLO METHOD WITH THE A-FUNCTION TECHNIQUE - H-2 B(3)SIGMA(U)(-2 C(3)PI(U), HE 1 S-3(), H), The Journal of chemical physics, 98(9), 1993, pp. 7204-7209
The diffusion Monte Carlo method for the solution of the Schrodinger e
quation for atomic and molecular systems is extended to incorporate th
e antisymmetry constraint. The sign problem is treated constraining th
e diffusion process of signed walkers within the fluctuating nodes of
a function A, defined as sum of Gaussians centered on the psips. The f
unction A is able to build up the full nodal surface in the 3N dimensi
onal space. The algorithm is shown to scale as N(alpha)3 + N(beta)3 wh
ere N(alpha) and N(beta) are the number of alpha and beta electrons. R
esults are given for the b 3SIGMA(u)+ and c 3PI(u) states of H-2 and t
he 1 3S state of He.