N-body Problems And Models

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Publisher : World Scientific
ISBN 13 : 981448346X
Total Pages : 193 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis N-body Problems And Models by : Donald Greenspan

Download or read book N-body Problems And Models written by Donald Greenspan and published by World Scientific. This book was released on 2004-06-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study and application of N-body problems has had an important role in the history of mathematics. In recent years, the availability of modern computer technology has added to their significance, since computers can now be used to model material bodies as atomic and molecular configurations, i.e. as N-body configurations.This book can serve either as a handbook or as a text. Methodology, intuition, and applications are interwoven throughout. Nonlinearity and determinism are emphasized. The book can be used on any level provided that the reader has at least some ability with numerical methodology, computer programming, and basic physics. It will be of interest to mathematicians, engineers, computer scientists, physicists, chemists, and biologists.Some unique features of the book include: (1) development of turbulent flow which is consistent with experimentation, unlike any continuum model; (2) applicability to rotating tops with nonuniform density; (3) conservative methodology which conserves the same energy and momentum as continuous systems.

Gravitational N-Body Simulations

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Publisher : Cambridge University Press
ISBN 13 : 9780521432726
Total Pages : 440 pages
Book Rating : 4.4/5 (327 download)

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Book Synopsis Gravitational N-Body Simulations by : Sverre J. Aarseth

Download or read book Gravitational N-Body Simulations written by Sverre J. Aarseth and published by Cambridge University Press. This book was released on 2003-10-23 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.

The Many-Body Problem in Quantum Mechanics

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Publisher : Courier Corporation
ISBN 13 : 0486687546
Total Pages : 482 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis The Many-Body Problem in Quantum Mechanics by : Norman Henry March

Download or read book The Many-Body Problem in Quantum Mechanics written by Norman Henry March and published by Courier Corporation. This book was released on 1995-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.

The Nuclear Many-Body Problem

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540212065
Total Pages : 742 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis The Nuclear Many-Body Problem by : Peter Ring

Download or read book The Nuclear Many-Body Problem written by Peter Ring and published by Springer Science & Business Media. This book was released on 2004-03-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study Edition

Gravitational N-Body Problem

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Publisher : Springer Science & Business Media
ISBN 13 : 9401028702
Total Pages : 446 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Gravitational N-Body Problem by : M. Lecar

Download or read book Gravitational N-Body Problem written by M. Lecar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the third IAU conference on the Gravita tional N-Body Problem. The first IAU conference [IJ, six years ago, was motivated by the renaissance in Celestial Mechanics following the launching of artificial earth satellites, and was an attempt to bring to bear on the problems of Stellar Dynamics the sophisticated analytical techniques of Celestial Mechanics. That meeting was an outgrowth of the 'Summer Institutes in Celestial Mechanics' initiated by Dirk Brouwer. By the second IAU conference [2J, our interest had been captured by the attempts to simulate stellar systems on the computer. Computer simulation is now an essential part of stellar dynamics; journals of computational physics have started in the United Kingdom and in the United States and symposia on computer simulation of many-body problems have become a perennial event [3,4, 5]. Although our early hopes that the computer would 'solve' our problem have been tempered by experience, some techniques of computer simulation have now matured through five years of testing and use. A working description of the six most popular methods is appended to this volume. During the past three years, stellar dynamicists have followed closely the develop ments in the related field of Plasma Physics. The contexts of Plasma and Stellar Physics are deceptively similar; at first, results from Plasma Physics were bodily transferred to stellar systems by 'changing the sign of the coupling'. We are more sophisticated and more skeptical now.

Dynamical Systems

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Publisher : Springer
ISBN 13 : 9780387495156
Total Pages : 336 pages
Book Rating : 4.4/5 (951 download)

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Book Synopsis Dynamical Systems by : Wang Sang Koon

Download or read book Dynamical Systems written by Wang Sang Koon and published by Springer. This book was released on 2011-06-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter. This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. the authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.

Simulating Hamiltonian Dynamics

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Publisher : Cambridge University Press
ISBN 13 : 9780521772907
Total Pages : 464 pages
Book Rating : 4.7/5 (729 download)

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Book Synopsis Simulating Hamiltonian Dynamics by : Benedict Leimkuhler

Download or read book Simulating Hamiltonian Dynamics written by Benedict Leimkuhler and published by Cambridge University Press. This book was released on 2004 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of the book for self-instruction or as a text for a graduate course on the subject.

Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections)

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Author :
Publisher : World Scientific
ISBN 13 : 9814505579
Total Pages : 992 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) by : Daniel C Mattis

Download or read book Many-body Problem, The: An Encyclopedia Of Exactly Solved Models In One Dimension (3rd Printing With Revisions And Corrections) written by Daniel C Mattis and published by World Scientific. This book was released on 1993-03-15 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.

Robotics Research

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Publisher : Springer Science & Business Media
ISBN 13 : 3642194567
Total Pages : 752 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Robotics Research by : Cédric Pradalier

Download or read book Robotics Research written by Cédric Pradalier and published by Springer Science & Business Media. This book was released on 2011-05-02 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of papers presented at the 14th International Symposium of Robotic Research (ISRR). ISRR is the biennial meeting of the International Foundation of Robotic Research (IFRR) and its 14th edition took place in Lucerne, Switzerland, from August 31st to September 3rd, 2009. As for the previous symposia, ISRR 2009 followed up on the successful concept of a mixture of invited contributions and open submissions. Half of the 48 presentations were therefore invited contributions from outstanding researchers selected by the IFRR officers, and half were chosen among the 66 submissions after peer review. This selection process resulted in a truly excellent technical program which, we believe, featured some of the very best of robotic research. Out of the 48 presentations, the 42 papers which were finally submitted for publication are organized in 8 sections that encompass the major research orientations in robotics: Navigation, Control & Planning, Human-Robot Interaction, Manipulation and Humanoids, Learning, Mapping, Multi-Robot Systems, and Micro-Robotics. They represent an excellent snapshot of cutting-edge research in robotics and outline future directions.

The Gravitational Million-Body Problem

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Publisher : Cambridge University Press
ISBN 13 : 9780521774864
Total Pages : 376 pages
Book Rating : 4.7/5 (748 download)

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Book Synopsis The Gravitational Million-Body Problem by : Douglas Heggie

Download or read book The Gravitational Million-Body Problem written by Douglas Heggie and published by Cambridge University Press. This book was released on 2003-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The globular star clusters of the Milky Way contain hundreds of thousands of stars held together by gravitational interactions, and date from the time when the Milky Way was forming. This 2003 text describes the theory astronomers need for studying globular star clusters. The gravitational million-body problem is an idealised model for understanding the dynamics of a cluster with a million stars. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Including a comprehensive treatment of few-body interactions, and developing an intuitive but quantitative understanding of the three-body problem, the book introduces numerical methods, relevant software, and current problems. Suitable for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.

Beautiful Models: 70 Years Of Exactly Solved Quantum Many-body Problems

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813102144
Total Pages : 398 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Beautiful Models: 70 Years Of Exactly Solved Quantum Many-body Problems by : Bill Sutherland

Download or read book Beautiful Models: 70 Years Of Exactly Solved Quantum Many-body Problems written by Bill Sutherland and published by World Scientific Publishing Company. This book was released on 2004-06-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing.Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.

Beautiful Models

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Publisher : World Scientific
ISBN 13 : 9789812388971
Total Pages : 404 pages
Book Rating : 4.3/5 (889 download)

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Book Synopsis Beautiful Models by : Bill Sutherland

Download or read book Beautiful Models written by Bill Sutherland and published by World Scientific. This book was released on 2004 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Features; An original book - not just a collection of reprints - by an expert, and in many cases the originator, in the field; Although most of the important results are derived, the book also discusses in depth the motivation and meaning of these results; The intrinisic beauty of these models and their solution is emphasized throughout the text, in part by unique full-color figures Readership: Advanced undergraduates and graduate students in physics; non-experts interested in exactly solved quantum many-body systems.

The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

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Publisher : CRC Press
ISBN 13 : 1420033301
Total Pages : 403 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems by : Bonnie Steves

Download or read book The Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems written by Bonnie Steves and published by CRC Press. This book was released on 2019-05-07 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the

Proceedings of the International Symposium on Frontiers of Science

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Publisher : World Scientific
ISBN 13 : 9789812384140
Total Pages : 584 pages
Book Rating : 4.3/5 (841 download)

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Book Synopsis Proceedings of the International Symposium on Frontiers of Science by : Chen Ning Yang

Download or read book Proceedings of the International Symposium on Frontiers of Science written by Chen Ning Yang and published by World Scientific. This book was released on 2003 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Symposium on Frontiers of Science was held to celebrate the 80th birthday of Chen Ning Yang, one of the great physicists of the 20th century and arguably the most-admired living scientist in China today. Many of the world's great scientists ? including sixteen Nobel laureates, Fields medallists and Wolf Prize winners ? converged on Beijing from all corners of the globe to pay tribute to Professor Yang.The Symposium was organized by Tsinghua University, with which Professor Yang has had a lifelong relationship. In 1997, he helped to found the Center for Advanced Study at Tsinghua, was appointed to the university's faculty, and has since devoted his energy to the growth of the Center.This unique and invaluable birthday volume is a collection of the presentations made at the Symposium, including fifteen plenary talks, seven of which are by Nobel laureates. It covers a wide range of topics and mirrors Professor Yang's research and intellectual interests. The range of fields encompasses high-energy, condensed-matter, mathematical, applied, bio-, astro-, atomic and quantum physics. Also included are talks given at the birthday banquet.About C N YangBorn in 1922 in Anwhei, China, C N Yang was brought up in the academic atmosphere of Tsinghua University in Beijing, where his father was a professor of mathematics. He received his college education at the National Southwest Associated University in Kunming, China, and completed his BSc there in 1942. His MSc was received in 1944 from Tsinghua University. He entered the University of Chicago in 1946, where he came under the strong influence of Prof E Fermi. After receiving his PhD in 1948, Prof Yang served for a year at the University of Chicago as an instructor. Since 1949 he has been associated with the Institute for Advanced Study, Princeton, where he became a professor in 1955.Prof Yang has worked on various subjects in physics, but is mainly interested in statistical mechanics and symmetry principles. He is a prolific author, his numerous articles appearing in the Bulletin of the American Mathematical Society, The Physical Review, Reviews of Modern Physics and the Chinese Journal of Physics.Prof Yang won the Nobel Prize in Physics in 1957, jointly with T-D Lee. He has been elected a Fellow of the American Physical Society and of Academia Sinica.

NBODY

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis NBODY by : William C. Strack

Download or read book NBODY written by William C. Strack and published by . This book was released on 1974 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Isochronous Systems

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Publisher : Oxford University Press
ISBN 13 : 0199535280
Total Pages : 261 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Isochronous Systems by : Francesco Calogero

Download or read book Isochronous Systems written by Francesco Calogero and published by Oxford University Press. This book was released on 2008-02-07 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: A dynamical system is called isochronous if it features in its phase space an open, fully-dimensional region where all its solutions are periodic in all its degrees of freedom with the same, fixed period. Recently a simple transformation has been introduced, applicable to quite a large class of dynamical systems, that yields autonomous systems which are isochronous. This justifies the notion that isochronous systems are not rare.In this book the procedure to manufacture isochronous systems is reviewed, and many examples of such systems are provided. Examples include many-body problems characterized by Newtonian equations of motion in spaces of one or more dimensions, Hamiltonian systems, and also nonlinear evolution equations (PDEs).The book shall be of interest to students and researchers working on dynamical systems, including integrable and nonintegrable models, with a finite or infinite number of degrees of freedom. It might be used as a basic textbook, or as backup material for an undergraduate or graduate course.

Zeros of Polynomials and Solvable Nonlinear Evolution Equations

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Publisher : Cambridge University Press
ISBN 13 : 1108428592
Total Pages : 179 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Zeros of Polynomials and Solvable Nonlinear Evolution Equations by : Francesco Calogero

Download or read book Zeros of Polynomials and Solvable Nonlinear Evolution Equations written by Francesco Calogero and published by Cambridge University Press. This book was released on 2018-09-20 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reporting a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs), this text includes practical examples throughout to illustrate the theoretical concepts. Beginning with systems of ODEs, including second-order ODEs of Newtonian type, it then discusses systems of PDEs, and systems evolving in discrete time. It reports a novel, differential algorithm which can be used to evaluate all the zeros of a generic polynomial of arbitrary degree: a remarkable development of a fundamental mathematical problem with a long history. The book will be of interest to applied mathematicians and mathematical physicists working in the area of integrable and solvable non-linear evolution equations; it can also be used as supplementary reading material for general applied mathematics or mathematical physics courses.