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This introduction to Monte Carlo methods seeks to identify and study the unifying elements that underlie their effective application. Initial chapters provide a short treatment of the probability and statistics needed as background, enabling those without experience in Monte Carlo techniques to apply these ideas to their research. The book focuses on two basic themes: The first is the importance of random walks as they occur both in natural stochastic systems and in their relationship to integral and differential equations. The second theme is that of variance reduction in general and importance sampling in particular as a technique for efficient use of the methods. Random walks are introduc...
In recent years there has been a considerable growth in interest in Monte Carlo methods, and quantum Monte Carlo methods in particlular. Clearly, the ever-increasing computational power available to researchers, has stimulated the development of improved algorithms, and almost all fields in computational physics and chemistry are affected by their applications. Here we just mention some fields that are covered in the lecture notes contained in this volume, viz. electronic structure studies of atoms, molecules and solids, nuclear structure, and low- or zero-temperature studies of strongly-correlated quantum systems, both of the continuum and lattice variety, and cooperative phenomena in class...
The sixth edition of this highly successful textbook provides a detailed introduction to Monte Carlo simulation in statistical physics, which deals with the computer simulation of many-body systems in condensed matter physics and related fields of physics and beyond (traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, these powerful simulation methods calculate probability distributions, making it possible to estimate the thermodynamic properties of various systems. The book describes the theoretical background of these methods, enabling newcomers to perform such simulations and to analyse their results. It features a modular structure, with two chapters providing a basic pedagogic introduction plus exercises suitable for university courses; the remaining chapters cover major recent developments in the field. This edition has been updated with two new chapters dealing with recently developed powerful special algorithms and with finite size scaling tools for the study of interfacial phenomena, which are important for nanoscience. Previous editions have been highly praised and widely used by both students and advanced researchers.
A variety of standard problems in theoretical nuclear-structure physics is addressed by the well-documented computer codes presented in this book. Most of these codes were available up to now only through personal contact. The subject matter ranges from microscopic models (the shell, Skyrme-Hartree-Fock, and cranked Nilsson models) through collective excitations (RPA, IBA, and geometric model) to the relativistic impulse approximation, three-body calculations, variational Monte Carlo methods, and electron scattering. The 5 1/4'' high-density floppy disk that comes with the book contains the FORTRAN codes of the problems that are tackled in each of the ten chapters. In the text, the precise theoretical foundations and motivations of each model or method are discussed together with the numerical methods employed. Instructions for the use of each code, and how to adapt them to local compilers and/or operating systems if necessary, are included.
This edition of the private and scientific correspondence of Sir Rudolf Peierls gives a unique insight into the life and work of one of the greatest theoretical physicists of the 20th century. Rudolf Peierls' scientific work contributed to the early developments in quantum mechanics, and he is well known and much appreciated for his contributions to various disciplines, including solid state physics, nuclear physics, and particle physics. As an enthusiastic and devoted teacher, he passed on his knowledge and understanding and inspired the work of collaborators and students alike. As an effective administrator he was responsible, almost single-handedly, for the establishment of an outstanding...
This document contains the transcript of three hearings on the High Speed Performance Computing and High Speed Networking Applications Act of 1993 (H.R. 1757). The hearings were designed to obtain specific suggestions for improvements to the legislation and alternative or additional application areas that should be pursued. Testimony and prepared statements were received from: (1) John H. Gibbons, Office of Science and Technology Policy; (2) Thomas J. Tauke, NYNEX; (3) Robert H. Ewald, Cray Research; (4) W. B. Barker, BBN Communications; (5) Richard F. Rashid, Microsoft; (6) Major R. Owens, House Subcommittee on Select Education and Civil Rights; (7) Don E. Detmer, University of Virginia; (8...
Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Indeed, its successes and importance were vividly illustrated prior to the conference by the sharing of the 1998 Nobel Prizes in both Physics and Chemistry by three many-body theorists. Two of those Nobel laureates, Walter Kohn and Bob Laughlin, delivered invited lectures at this meeting, the tenth in the series of International Conferences on Recent Progress in Many-Body Theories. This series is universally recognized as being the prem...
Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Its most powerful techniques are truly universal. They are constantly expanding to find new fields of application, while advances continue to be made in the more traditional areas. To commemorate the impending 80th birthdays of its two co-inventors, Firtz Coester and Hermann Kümmel, one such technique, namely the coupled cluster method, was especially highlighted at this meeting, the eleventh in the series of International Conferences ...