Exact Monte Carlo for few-fermion systems

Journal Article · Sat Jun 01 04:00:00 EDT 1991 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01030010· OSTI ID:5298669

Kalos, M H ^[1]

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1. Cornell Univ., Ithaca, NY (United States)

The author reconsiders the fundamental difficulties of fermion Monte Carlo as applied to few-body systems. He concludes that necessary ingredients of successful algorithms include the following: there must be equal populations of random walkers that carry positive and negative weights. The positions of positive walkers should be selected from a distribution that uses Green's functions to couple all walkers. The positions of negative walkers should be generated from those of positive walkers by means of odd permutations. The correct importance functions that take into account the global interactions of the populations are different for positive and negative walkers. Use of such important functions breaks the symmetry that otherwise would exist between configurations (of the entire population) and configurations derived by interchanging positive and negative walkers. Based upon these observations, he has constructed a stable and accurate algorithm that solves a fully-polarized, three-dimensional three-body model problem.

• OSTI ID: 5298669
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 63:5-6; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL LOGIC
MONTE CARLO METHOD
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
THREE-BODY PROBLEM
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
WAVE FUNCTIONS