Ebook: Monte Carlo Methods in Quantum Problems

Monte Carlo methods have been a tool of theoretical and computational scientists for many years. In particular, the invention and percolation of the algorithm of Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller sparked a rapid growth of applications to classical statistical mechanics. Although proposals for treatment of quantum systems had been made even earlier, only a few serious calculations had heen carried out. Ruch calculations are generally more consuming of computer resources than for classical systems and no universal algorithm had--or indeed has yet-- emerged. However, with advances in techniques and in sheer computing power, Monte Carlo methods have been used with considerable success in treating quantum fluids and crystals, simple models of nuclear matter, and few-body nuclei. Research at several institutions suggest that they may offer a new approach to quantum chemistry, one that is independent of basis ann yet capable of chemical accuracy. That. Monte Carlo methods can attain the very great precision needed is itself a remarkable achievement. More recently, new interest in such methods has arisen in two new a~as. Particle theorists, in particular K. Wilson, have drawn attention to the rich analogy between quantum field theoty and statistical mechanics and to the merits of Monte Carlo calculations for lattice gauge theories. This has become a rapidly growing sub-field. A related development is associated with lattice problems in quantum physics, particularly with models of solid state systems. The~ is much ferment in the calculation of various one-dimensional problems such as the'Hubbard model.

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Content:
Front Matter....Pages i-viii
Droplets of 4He Atoms....Pages 1-12
Maximum Overlap Jastrow Wave Function of the Lennard Jones Bose Fluid....Pages 13-18
Optimization and the Many-Fermion Problem....Pages 19-31
Droplets of 3He Atoms....Pages 33-39
Random Walk in Fock Space....Pages 41-46
A Review of Quantum Monte Carlo Methods and Results for Coulombic Systems....Pages 47-57
Can Monte Carlo Methods Achieve Chemical Accuracy?....Pages 59-70
Chemical Physics of Molecular Systems in Condensed Phases....Pages 71-104
Study of an F Center in Molten KC1....Pages 105-116
Path Integral Monte Carlo....Pages 117-144
A Quantum Monte Carlo Method for the Heisenberg Spin System....Pages 145-155
Monte Carlo Simulation of One Dimensional Quantum Systems....Pages 157-186
Monte Carlo Calculation of the Thermodynamic Properties of Quantum Lattice Models....Pages 187-201
Numerical Simulation of Quantum Lattice Systems: Electron-Electron and Electron-Phonon Interactions in One Dimension....Pages 203-233
The Spectrum of Pure Gauge Theories....Pages 235-251
Evaluation of Hadron Masses in Quantum Chromodynamics....Pages 253-266
Some Applications of a New Stochastic Method in Lattice Theories....Pages 267-285
Back Matter....Pages 287-291

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Content:
Front Matter....Pages i-viii
Droplets of 4He Atoms....Pages 1-12
Maximum Overlap Jastrow Wave Function of the Lennard Jones Bose Fluid....Pages 13-18
Optimization and the Many-Fermion Problem....Pages 19-31
Droplets of 3He Atoms....Pages 33-39
Random Walk in Fock Space....Pages 41-46
A Review of Quantum Monte Carlo Methods and Results for Coulombic Systems....Pages 47-57
Can Monte Carlo Methods Achieve Chemical Accuracy?....Pages 59-70
Chemical Physics of Molecular Systems in Condensed Phases....Pages 71-104
Study of an F Center in Molten KC1....Pages 105-116
Path Integral Monte Carlo....Pages 117-144
A Quantum Monte Carlo Method for the Heisenberg Spin System....Pages 145-155
Monte Carlo Simulation of One Dimensional Quantum Systems....Pages 157-186
Monte Carlo Calculation of the Thermodynamic Properties of Quantum Lattice Models....Pages 187-201
Numerical Simulation of Quantum Lattice Systems: Electron-Electron and Electron-Phonon Interactions in One Dimension....Pages 203-233
The Spectrum of Pure Gauge Theories....Pages 235-251
Evaluation of Hadron Masses in Quantum Chromodynamics....Pages 253-266
Some Applications of a New Stochastic Method in Lattice Theories....Pages 267-285
Back Matter....Pages 287-291
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