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Monte Carlo methods have been very prominent in computer simulation
of various systems in physics, chemistry, biology, and materials
science. This book focuses on the discussion and path-integral
quantum Monte Carlo methods in many-body physics and provides a
concise but complete introduction to the Metropolis algorithm and
its applications in these two techniques. To explore the schemes in
clarity, several quantum many-body systems are analysed and studied
in detail. The book includes exercises to help digest the materials
covered. It can be used as a tutorial to learn the discussion and
path-integral Monte Carlo or a recipe for developing new research
in the reader's own area. Two complete Java programs, one for the
discussion Monte Carlo of 4^He clusters on a graphite surface and
the other for the path-integral Monte Carlo of cold atoms in a
potential trap, are ready for download and adoption.
Monte Carlo methods have been very prominent in computer simulation
of various systems in physics, chemistry, biology, and materials
science. This book focuses on the discussion and path-integral
quantum Monte Carlo methods in many-body physics and provides a
concise but complete introduction to the Metropolis algorithm and
its applications in these two techniques. To explore the schemes in
clarity, several quantum many-body systems are analysed and studied
in detail. The book includes exercises to help digest the materials
covered. It can be used as a tutorial to learn the discussion and
path-integral Monte Carlo or a recipe for developing new research
in the reader's own area. Two complete Java programs, one for the
discussion Monte Carlo of 4^He clusters on a graphite surface and
the other for the path-integral Monte Carlo of cold atoms in a
potential trap, are ready for download and adoption.
Thoroughly revised for its second edition, this advanced textbook
provides an introduction to the basic methods of computational
physics, and an overview of progress in several areas of scientific
computing by relying on free software available from CERN. The book
begins by dealing with basic computational tools and routines,
covering approximating functions, differential equations, spectral
analysis, and matrix operations. Important concepts are illustrated
by relevant examples at each stage. The author also discusses more
advanced topics, such as molecular dynamics, modeling continuous
systems, Monte Carlo methods, genetic algorithm and programming,
and numerical renormalization. It includes many more exercises.
This can be used as a textbook for either undergraduate or
first-year graduate courses on computational physics or scientific
computation. It will also be a useful reference for anyone involved
in computational research.
Thoroughly revised for its second edition, this advanced textbook
provides an introduction to the basic methods of computational
physics, and an overview of progress in several areas of scientific
computing by relying on free software available from CERN. The book
begins by dealing with basic computational tools and routines,
covering approximating functions, differential equations, spectral
analysis, and matrix operations. Important concepts are illustrated
by relevant examples at each stage. The author also discusses more
advanced topics, such as molecular dynamics, modeling continuous
systems, Monte Carlo methods, genetic algorithm and programming,
and numerical renormalization. It includes many more exercises.
This can be used as a textbook for either undergraduate or
first-year graduate courses on computational physics or scientific
computation. It will also be a useful reference for anyone involved
in computational research.
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