Quantum Monte Carlo : origins, development, applications / [compiled] by James B. Anderson.

Format:

Book

Contributor:

Anderson, James B., 1935- editor.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Monte Carlo method--Abstracts.

Monte Carlo method.

Quantum theory--Abstracts.

Quantum theory.

Physical Description:

1 online resource (200 pages)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2023.

Language Note:

English

Summary:

Monte Carlo methods are a class of computational algorithms for simulating the behavior of a wide range of various physical and mathematical systems (with many variables). Their utility has increased with general availability of fast computers, and new applications are continually forthcoming. The basic concepts of Monte Carlo are both simple and straightforward and rooted in statistics and probability theory, their defining characteristic being that the methodology relies on random or pseudo-random sequences of numbers. It is a technique of numerical analysis based on the approximate solution

Contents:

Contents; 1 E. Schrödinger: Über die Umkehrung der Naturgesetze; 2 N. Metropolis & S. Ulam: The Monte Carlo method; 3 M. H. Kalos: Monte Carlo calculations of the ground state of three- and four-body nuclei; 4 H. Conroy: Molecular Schrödinger equation. II. Monte Carlo evaluation of integrals; 5 W. L. McMillan: Ground state of liquid [sup(4)]He; 6 M. H. Kalos: Stochastic wave function for atomic helium; 7 R. C. Grimm & R. G. Storer: Monte-Carlo solution of Schrödinger's equation; 8 M. H. Kalos, D. Levesque, & L. Verlet: Helium at zero temperature with hard-sphere and other forces

9 K. S. Liu, M. H. Kalos, & G. V. Chester: Quantum hard spheres in a channel10 J. B. Anderson: A random-walk simulation of the Schrödinger equation: H[sup(+)sub(3)]; 11 D. J. Klein & H. M. Pickett: Nodal hypersurfaces and Anderson's random-walk simulation of the Schrödinger equation; 12 J. B. Anderson: Quantum chemistry by random walk. H [sup(2)]P, H[sup(+)sub(3)] D[sub(3h)] [sup(1)]A'[sub(1)], H[sub(2)] [sup(3)]Σ[sup(+)sub(u)], H[sub(4)] [sup(1)]Σ[sup(+)sub(g)], Be [sup

13 R. L. Coldwell & R. E. Lowther: Monte Carlo calculation of the Born-Oppenheimer potential between two helium atoms using Hylleraas-type electronic wave functions14 J. B. Anderson: Quantum chemistry by random walk: H[sub(4)] square; 15 J. B. Anderson & B. H. Freihaut: Quantum chemistry by random walk: Method of successive corrections; 16 Y. Tomashima & J. Ozaki: Monte Carlo solution of Schrödinger's equation for the hydrogen atom in a magnetic field; 17 J. B. Anderson: Quantum chemistry by random walk: Higher accuracy

18 D. M. Ceperley & B. J. Alder: Ground state of the electron gas by a stochastic method19 F. Mentch & J. B. Anderson: Quantum chemistry by random walk: Importance sampling for H[sup(+)sub(3)]; 20 K. McDowell & J. D. Doll: Quantum Monte Carlo and the hydride ion; 21 K. McDowell: Assessing the quality of a wavefunction using quantum Monte Carlo; 22 J. G. Zabolitzky & M. H. Kalos: Solution of the four-nucleon Schrödinger equation; 23 D. M. Arnow, M. H. Kalos, M. A. Lee, & K. E. Schmidt: Green's function Monte Carlo for few fermion problems

24 J. W. Moskowitz, K. E. Schmidt, M. A. Lee, & M. H. Kalos: Monte Carlo variational study of Be: A survey of correlated wavefunctions25 J. W. Moskowitz, K. E. Schmidt, M. A. Lee, & M. H. Kalos: A new look at correlation energy in atomic and molecular systems. II. The application of the Green's function Monte Carlo method to LiH; 26 P. J. Reynolds, D. M. Ceperley, B. J. Alder, & W. A. Lester, Jr.: Fixed-node quantum Monte Carlo for molecules; 27 D. W. Heys & D. R. Stump: Application of the Green's-function Monte Carlo method to the compact Abelian lattice gauge theory

28 V. R. Pandharipande, J. G. Zabolitzky, S. C. Pieper, R. B. Wiringa, & U. Helmbrecht: Calculations of ground-state properties of liquid [sup(4)]He droplets

Notes:

Includes index.

Previously issued in print: 2007.

Derived record based on print version record and publisher information.

ISBN:

0-19-773253-4

1-281-16355-4

0-19-971874-1

1-4356-1723-1

OCLC:

437094058