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Author: Asoke Mitra Publisher: Elsevier ISBN: 0444601090 Category : Science Languages : en Pages : 792
Book Description
Few Body Dynamics presents the proceedings of the VII International Conference on Few Body Problems in Nuclear and Particle Physics, held in Delhi from December 29, 1975 to January 3, 1976. Invited speakers talked about topics ranging from dynamic equations and approximation methods to computation and experimental techniques, few body bound states, breakup reactions and polarization, few electron systems, and photon and electron probes on few body systems. Speakers also covered few body reactions with mesons and resonances, few body aspects of nuclear reactions and scattering, three body forces in nuclei, and quark physics. Comprised of four parts encompassing 145 chapters, this volume summarizes the status and results from experimental facilities such as the Bhabha Atomic Research Centre in India, TRIUMF in Canada, and the Clinton P. Anderson Meson Physics Facility in the United States. It also discusses completeness relations in scattering theory for non-Hermitian potentials, ambiguities in phase-shift analysis, and parametrization of the half-shell function when the eigenchannel has a bound state. The next chapters focus on possible phenomenological forms for the two-body local potential, nuclear three-body forces arising from triple-boson couplings, and concepts such as N-particle transit operators, three-body separable expansion amplitude, the three-body problem with energy-dependent potentials, and the four-body problem. The book also introduces the reader to triton with realistic potentials, backward proton-deuteron scattering, and deep inelastic lepton-nucleon interactions at high energy. This book will benefit physicists, students, and researchers who want to learn about the dynamics of few body systems.
Author: Asoke Mitra Publisher: Elsevier ISBN: 0444601090 Category : Science Languages : en Pages : 792
Book Description
Few Body Dynamics presents the proceedings of the VII International Conference on Few Body Problems in Nuclear and Particle Physics, held in Delhi from December 29, 1975 to January 3, 1976. Invited speakers talked about topics ranging from dynamic equations and approximation methods to computation and experimental techniques, few body bound states, breakup reactions and polarization, few electron systems, and photon and electron probes on few body systems. Speakers also covered few body reactions with mesons and resonances, few body aspects of nuclear reactions and scattering, three body forces in nuclei, and quark physics. Comprised of four parts encompassing 145 chapters, this volume summarizes the status and results from experimental facilities such as the Bhabha Atomic Research Centre in India, TRIUMF in Canada, and the Clinton P. Anderson Meson Physics Facility in the United States. It also discusses completeness relations in scattering theory for non-Hermitian potentials, ambiguities in phase-shift analysis, and parametrization of the half-shell function when the eigenchannel has a bound state. The next chapters focus on possible phenomenological forms for the two-body local potential, nuclear three-body forces arising from triple-boson couplings, and concepts such as N-particle transit operators, three-body separable expansion amplitude, the three-body problem with energy-dependent potentials, and the four-body problem. The book also introduces the reader to triton with realistic potentials, backward proton-deuteron scattering, and deep inelastic lepton-nucleon interactions at high energy. This book will benefit physicists, students, and researchers who want to learn about the dynamics of few body systems.
Author: Zdzislaw Musielak Publisher: Springer ISBN: 3319582267 Category : Science Languages : en Pages : 115
Book Description
This brief book provides an overview of the gravitational orbital evolution of few-body systems, in particular those consisting of three bodies. The authors present the historical context that begins with the origin of the problem as defined by Newton, which was followed up by Euler, Lagrange, Laplace, and many others. Additionally, they consider the modern works from the 20th and 21st centuries that describe the development of powerful analytical methods by Poincare and others. The development of numerical tools, including modern symplectic methods, are presented as they pertain to the identification of short-term chaos and long term integrations of the orbits of many astronomical architectures such as stellar triples, planets in binaries, and single stars that host multiple exoplanets. The book includes some of the latest discoveries from the Kepler and now K2 missions, as well as applications to exoplanets discovered via the radial velocity method. Specifically, the authors give a unique perspective in relation to the discovery of planets in binary star systems and the current search for extrasolar moons.
Author: M.A. Trump Publisher: Springer Science & Business Media ISBN: 9780792357377 Category : Science Languages : en Pages : 392
Book Description
in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.
Author: Aydin Tözeren Publisher: Springer Science & Business Media ISBN: 038721691X Category : Medical Languages : en Pages : 332
Book Description
A quantitative approach to studying human biomechanics, presenting principles of classical mechanics using case studies involving human movement. Vector algebra and vector differentiation are used to describe the motion of objects and 3D motion mechanics are treated in depth. Diagrams and software-created sequences are used to illustrate human movement.
Author: Vidya Sagar Bhasin Publisher: Springer Nature ISBN: 3030561712 Category : Science Languages : en Pages : 127
Book Description
This book presents an overview of the different few-body techniques developed in nuclear physics and their applications to explore the structural properties of neutron-rich unstable nuclei, the so-called halo nuclei. Formal theory of two- and three-body scattering are discussed in a compact and abridged form to initiate the beginners who want to investigate the problems of halo nuclei within the framework of three-body models. Readers gain in-depth knowledge about the methods involved to solve the two- and three-body scattering problem and a special focus is put on the Faddeev approach. In this sense, the authors address both the graduate students and senior researchers. Subsequently, a detailed analysis of the Efimov effect in three-body systems is presented and the search for the effect in atomic nuclei, both Borromean and non-Borromean is addressed. The book also presents a detailed account of how to analyze, within the framework of a 3-body approach and using realistic short range forces, the structural properties of halo nuclei. Finally, the authors discuss the recent progress in effective field theory by setting up the integral equations for 3-body scattering and applying it to study low energy scattering of neutrons off halo nuclear targets.
Author: Seppo Mikkola Publisher: Cambridge University Press ISBN: 1108871399 Category : Science Languages : en Pages : 257
Book Description
Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gravitationally. In this introduction to the few-body problem, a key figure in developing more efficient methods over the past few decades summarizes and explains them, covering both basic analytical formulations and numerical methods. The mathematics required for celestial mechanics and stellar dynamics is explained, starting with two-body motion and progressing through classical methods for planetary system dynamics. This first part of the book can be used as a short course on celestial mechanics. The second part develops the contemporary methods for which the author is renowned - symplectic integration and various methods of regularization. This volume explains the methodology of the subject for graduate students and researchers in celestial mechanics and astronomical dynamics with an interest in few-body dynamics and the regularization of the equations of motion.
Author: Hubert Hahn Publisher: Springer Science & Business Media ISBN: 3662048310 Category : Technology & Engineering Languages : en Pages : 345
Book Description
This monograph presents an introduction into basic mechanical aspects of mechatronic systems for students, researchers and engineers from industrial practice. An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving and solving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE). The objective of this book is to prepare the reader for being capable of efficiently handling and applying general purpose rigid body programs to complex mechanisms. The reader will be able to set up symbolic mathematical models of planar and spatial mechanisms in DAE-form for computer simulations, often required in dynamic analysis and in control design.
Author: Piers Coleman Publisher: Cambridge University Press ISBN: 1316432025 Category : Science Languages : en Pages : 815
Book Description
A modern, graduate-level introduction to many-body physics in condensed matter, this textbook explains the tools and concepts needed for a research-level understanding of the correlated behavior of quantum fluids. Starting with an operator-based introduction to the quantum field theory of many-body physics, this textbook presents the Feynman diagram approach, Green's functions and finite-temperature many-body physics before developing the path integral approach to interacting systems. Special chapters are devoted to the concepts of Fermi liquid theory, broken symmetry, conduction in disordered systems, superconductivity and the physics of local-moment metals. A strong emphasis on concepts and numerous exercises make this an invaluable course book for graduate students in condensed matter physics. It will also interest students in nuclear, atomic and particle physics.
Author: Ahmed A. Shabana Publisher: Cambridge University Press ISBN: 9781139446518 Category : Science Languages : en Pages : 392
Book Description
Dynamics of Multibody Systems, 3rd Edition, first published in 2005, introduces multibody dynamics, with an emphasis on flexible body dynamics. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale, multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. This revised third edition now includes important developments relating to the problem of large deformations and numerical algorithms as applied to flexible multibody systems. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems.
Author: Asoke Mitra
Author: Asoke Mitra
Author: Zdzislaw Musielak
Author: M.A. Trump
Author: Aydin Tözeren
Author: Asoke Nath Mitra
Author: Vidya Sagar Bhasin
Author: Seppo Mikkola
Author: Hubert Hahn
Author: Piers Coleman
Author: Ahmed A. Shabana