MONTE CARLO STUDIES OF CRYSTALLINE HELIUM.

David M Ceperley; G. V. Chester; M. H. Kalos; P. A. Whitlock

doi:10.1051/jphyscol:19786562

MONTE CARLO STUDIES OF CRYSTALLINE HELIUM.

David M Ceperley, G. V. Chester, M. H. Kalos, P. A. Whitlock

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Abstract

Results for properties of solid helium at zero temperature are presented. Most of the data were obtained by a Monte Carlo method which gives an exact solution of the Schroedinger equation. For helium 4 we exhibit the energy as a function of the density, the properties of the liquid-solid transition, the one-body density, the structure function, and the momentum distribution, calculated for an f. c. c. lattice. The agreement of the calculated thermodynamic properties with experiment is better than those calculated variationally, but the Lennard-Jones potential does not give a quantitative description of helium 4. Differences between f. c. c. and h. c. p. phases do not explain the discrepancy. For helium 3, results of variational calculations using exactly antisymmetric trial functions are given.

Original language	English
Title of host publication	J Phys (Paris) Colloq
Pages	1298-1304
Number of pages	7
Volume	39
Edition	8
DOIs	https://doi.org/10.1051/jphyscol:19786562
State	Published - Aug 1978
Externally published	Yes
Event	Int Conf on Low Temp Phys, 15th - Grenoble, Fr, USA Duration: Aug 23 1978 → Aug 29 1978

Other

Other	Int Conf on Low Temp Phys, 15th
City	Grenoble, Fr, USA
Period	8/23/78 → 8/29/78

ASJC Scopus subject areas

General Engineering

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10.1051/jphyscol:19786562

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title = "MONTE CARLO STUDIES OF CRYSTALLINE HELIUM.",

abstract = "Results for properties of solid helium at zero temperature are presented. Most of the data were obtained by a Monte Carlo method which gives an exact solution of the Schroedinger equation. For helium 4 we exhibit the energy as a function of the density, the properties of the liquid-solid transition, the one-body density, the structure function, and the momentum distribution, calculated for an f. c. c. lattice. The agreement of the calculated thermodynamic properties with experiment is better than those calculated variationally, but the Lennard-Jones potential does not give a quantitative description of helium 4. Differences between f. c. c. and h. c. p. phases do not explain the discrepancy. For helium 3, results of variational calculations using exactly antisymmetric trial functions are given.",

author = "Ceperley, {David M} and Chester, {G. V.} and Kalos, {M. H.} and Whitlock, {P. A.}",

year = "1978",

month = aug,

doi = "10.1051/jphyscol:19786562",

language = "English",

volume = "39",

pages = "1298--1304",

booktitle = "J Phys (Paris) Colloq",

edition = "8",

note = "Int Conf on Low Temp Phys, 15th ; Conference date: 23-08-1978 Through 29-08-1978",

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T1 - MONTE CARLO STUDIES OF CRYSTALLINE HELIUM.

AU - Ceperley, David M

AU - Chester, G. V.

AU - Kalos, M. H.

AU - Whitlock, P. A.

PY - 1978/8

Y1 - 1978/8

N2 - Results for properties of solid helium at zero temperature are presented. Most of the data were obtained by a Monte Carlo method which gives an exact solution of the Schroedinger equation. For helium 4 we exhibit the energy as a function of the density, the properties of the liquid-solid transition, the one-body density, the structure function, and the momentum distribution, calculated for an f. c. c. lattice. The agreement of the calculated thermodynamic properties with experiment is better than those calculated variationally, but the Lennard-Jones potential does not give a quantitative description of helium 4. Differences between f. c. c. and h. c. p. phases do not explain the discrepancy. For helium 3, results of variational calculations using exactly antisymmetric trial functions are given.

AB - Results for properties of solid helium at zero temperature are presented. Most of the data were obtained by a Monte Carlo method which gives an exact solution of the Schroedinger equation. For helium 4 we exhibit the energy as a function of the density, the properties of the liquid-solid transition, the one-body density, the structure function, and the momentum distribution, calculated for an f. c. c. lattice. The agreement of the calculated thermodynamic properties with experiment is better than those calculated variationally, but the Lennard-Jones potential does not give a quantitative description of helium 4. Differences between f. c. c. and h. c. p. phases do not explain the discrepancy. For helium 3, results of variational calculations using exactly antisymmetric trial functions are given.

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M3 - Chapter

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BT - J Phys (Paris) Colloq

T2 - Int Conf on Low Temp Phys, 15th

Y2 - 23 August 1978 through 29 August 1978

ER -

MONTE CARLO STUDIES OF CRYSTALLINE HELIUM.

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