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Journal ArticleDOI

Energy of a Boson Fluid with Lennard-Jones Potentials

Malvin H. Kalos
- 01 Jul 1970 - 
- Vol. 2, Iss: 1, pp 250-255
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TLDR
In this article, the energy of the ground state of a system of 32 bosons interacting by Lennard-Jones potentials and with periodic boundary conditions is derived for the Schrodinger equation for a large ensemble of particles.
Abstract
A more powerful version of a numerical method published before is given which permits the integration of the Schr\"odinger equation for a large ensemble of particles. A new method for obtaining quantum expectation values is outlined. Numerical results are tabulated for the energy of the ground state of a system of 32 bosons interacting by Lennard-Jones potentials and with periodic boundary conditions. This is a commonly used model of liquid ${\mathrm{He}}^{4}$. The present results are substantially lower and closer to experiment than variational estimates based on a Jastrow-type wave function.

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Journal ArticleDOI

A quantum-statistical Monte Carlo method; path integrals with boundary conditions

TL;DR: In this article, a new Monte Carlo method for problems in quantum statistical mechanics is described, based on the use of iterated short-time Green's functions, for which "image" approximations are used.
Journal ArticleDOI

Magnetism in solid He-3

TL;DR: In this paper, the theory of magnetism in solid materials is reviewed with emphasis on the multiple-spin-exchange theory of the magnetic interaction, and critical experiments are discussed briefly, and the most reliable present values for various quantities are chosen.
Journal ArticleDOI

Structure of Water Clusters. The Contribution of Many-Body Forces, Monomer Relaxation, and Vibrational Zero-Point Energy

TL;DR: The vibrationally averaged properties of small water clusters from the dimer to the hexamer are discussed in this paper, where the potential energy surface used contains explicit many-body terms which allow the non-pairwise interactions to be considered.
Journal ArticleDOI

Current state of nuclear matter calculations

TL;DR: In this article, the current state of nuclear matter calculations is described with special reference to the present disagreement between the variational and Brueckner-Bethe methods, and practical ways of testing the validity of these mehtods are discussed and illustrated by numerical results taken from the literature.
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