Showing papers on "Quantum Monte Carlo published in 1971"
TL;DR: In this article, a Monte-Carlo method is presented for the calculation of the ground-state wavefunction and energy value of the many-body Schrodinger equation, and several refinements to the iterative scheme, including the use of variational wavefunctions to improve the energy estimate and a variance reducing technique, are also discussed.
167 citations
TL;DR: A simulation procedure for estimating the distribution functions of the time to complete stochastic networks, called conditional Monte Carlo, is shown to be substantially more efficient than traditional simulation methods.
Abstract: This paper is concerned with a simulation procedure for estimating the distribution functions of the time to complete stochastic networks. The procedure, called conditional Monte Carlo, is shown to be substantially more efficient (in terms of the computational effort required) than traditional simulation methods. The efficacy of conditional Monte Carlo and its use in conjunction with other Monte Carlo methods is illustrated for the Wheatstone bridge network. The applicability of the procedure to larger networks, as well as other stochastic systems, is discussed, and a general method is given for its implementation.
148 citations
75 citations
TL;DR: In this paper, a method for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation is presented, in which the collision density in the neighbor area is biased by bias bias bias.
Abstract: Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighbor...
21 citations
20 citations
TL;DR: In this article, the dynamical evolution of spherical star clusters under the effect of internal encounters is followed numerically using a Monte Carlo procedure, separated by a time step which is a fraction of the relaxation time.
Abstract: The dynamical evolution of spherical star clusters under the effect of internal encounters is followed numerically using a Monte Carlo procedure. Successive states of the system are computed, separated by a time step which is a fraction of the relaxation time. In any given state, each star is characterized by its total energy and its angular momentum with respect to the centre. Changes in these two quantities from one state to the next are computed by randomly selecting the position of the star on its orbit, randomly choosing a field star, letting the two stars interact, and multiplying the effect by an appropriate factor. This procedure can be shown to reproduce correctly the behaviour of the system as given by the Fokker-Planck equation. The computation is much faster than the exact N-body integration. Multiple-encounter effects are neglected, but this is probably not of serious consequence when N is large.
16 citations
Journal Article•
10 citations
TL;DR: In this article, the authors compared elastic constants from Monte Carlo computer experiments with values calculated by self-consistent phonon theory for a model approximating fcc solid Xe and used a Lennard-Jones (12-6) nearest-neighbor potential which gave a fair account of the thermodynamics.
Abstract: Elastic constants from Monte Carlo computer experiments are compared with values calculated by self-consistent phonon theory for a model approximating fcc solid Xe. We have used a Lennard-Jones (12-6) nearest-neighbor potential which gives a fair account of the thermodynamics. Adiabatic elastic constants obtained by both methods are in good agreement. Comparison is also made with recent experimental elastic-constant data of Gornall and Stoicheff.
9 citations
TL;DR: In this paper, a value function model to predict analytical biasing functions is developed, which is used to bias the angle selection of a SNAP shield for different problems, such as angle, space, and energy.
6 citations
TL;DR: In this paper, a Monte Carlo event generation method is presented that integrates multi-peripheral models with good efficiency for all energies and all multiplicities up to 18 for all multiplicas.
5 citations
TL;DR: In this article, the frequency dependence of the efficiency of transferred-electron devices was investigated by a Monte Carlo method, and the frequency was shown to be very sensitive to the ΓL coupling constant.
Abstract: The dynamic behaviour of transferred-electron devices is investigated by a Monte Carlo method. As an example, the frequency dependence of the efficiency, is presented for InP. The frequency behaviour of the efficiency is shown to be very sensitive to the ΓL coupling constant
TL;DR: In this paper, the small-angle plural scattering of a well-collimated beam of mono-energetic particles by a collection of stationary scatterers has been investigated by means of Monte Carlo calculations.
Abstract: The small-angle plural scattering of a well-collimated beam of mono-energetic particles by a collection of stationary scatterers has been investigated by means of Monte Carlo calculations. A cross-sectional profile of the form σ(θ) = σ(0) exp (− θ/α) has been assumed. This is a reasonably good approximation for the atomic scattering of medium-energy electrons and yet is sufficiently simple to allow analytical evaluation of the integrals occurring in the Goudsmit-Saunderson-Moliere theory of plural scattering. The theoretical and Monte Carlo results are compared with the predictions of a simple model of plural scattering based on observations of small-angle scattering of medium-energy electrons in gases.