Does squaring the quantum Monte Carlo weights give the exact quantum probability distribution?

1990 ◽  
Vol 92 (3) ◽  
pp. 2118-2120 ◽  
Author(s):  
Peter J. Reynolds
Keyword(s):  
Monte Carlo ◽  
Probability Distribution ◽  
Quantum Monte Carlo ◽  
Quantum Probability ◽  
Exact Quantum

scholarly journals Exact quantum Monte Carlo process for the statistics of discrete systems

JETP Letters ◽  
1996 ◽  
Vol 64 (12) ◽  
pp. 911-916 ◽  
Author(s):  
N. V. Prokof’ev ◽  
B. V. Svistunov ◽  
I. S. Tupitsyn
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Discrete Systems ◽  
Exact Quantum

scholarly journals Particle diffusion Monte Carlo (PDMC)

2019 ◽  
Vol 25 (2) ◽  
pp. 121-130 ◽  
Author(s):  
Zakarya Zarezadeh ◽  
Giovanni Costantini
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Dimensional Space ◽  
Free Particle ◽  
Quantum Probability ◽  
Alternative Methods ◽  
Computational Time ◽  
Particle Diffusion ◽  
Diffusion Monte Carlo ◽  
The Many

Abstract General expressions for anisotropic particle diffusion Monte Carlo (PDMC) in a d-dimensional space are presented. The calculations of ground state energy of a helium atom for solving the many-body Schrödinger equation is carried out by the proposed method. The accuracy and stability of the results are discussed relative to other alternative methods, and our experimental results within the statistical errors agree with the quantum Monte Carlo methods. We also clarify the benefits of the proposed method by modeling the quantum probability density of a free particle in a plane (energy eigenfunctions). The proposed model represents a remarkable improvement in terms of performance, accuracy and computational time over standard MCMC method.

An exact quantum Monte Carlo calculation of the helium–helium intermolecular potential

1993 ◽  
Vol 99 (1) ◽  
pp. 345-351 ◽  
Author(s):  
James B. Anderson ◽  
Carol A. Traynor ◽  
Bruce M. Boghosian
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Calculation ◽  
Intermolecular Potential ◽  
Exact Quantum
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