The Quantum Mechanical Few-Body Problem
The Quantum Mechanical Few-Body Problem

Author: W. Glöckle

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 207

ISBN-13: 3642820816

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Few-body systems are both technically relatively simple and physically non trivial enough to test theories quantitatively. For instance the He-atom played historically an important role in verifying predictions of QED. A similar role is contributed nowadays to the three-nucleon system as a testing ground far nuclear dynamics and maybe in the near future to few-quark systems. They are also often the basic building blocks for many-body systems like to some extent nuclei, where the real many-body aspect is not the dominant feature. The presentation of the subject given here is based on lectures held at var ious places in the last ten years. The selection of the topics is certainly subjec tive and influenced by my own research interests. The content of the book is simply organized according to the increasing nu mb er of particles treated. Be cause of its conceptual simplicity single particle motion is very suitable for in troducing the basic elements of scattering theory. Using these elements the two-body system is treated for the specific case of two nucleons, which is of great importance in the study of the nuclear interaction. Great space is devoted to the less trivial few-body system consisting of three particles. Again physical examples are taken solely from nuclear physics. Finally the four particle system is discussed so as to familiarize the reader with the techniques required for the formulations of n-bodies in general.

Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems
Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems

Author: Yasuyuki Suzuki

Publisher: Springer Science & Business Media

Published: 2003-07-01

Total Pages: 314

ISBN-13: 354049541X

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The quantum-mechanical few-body problem is of fundamental importance for all branches of microphysics and it has substantially broadened with the advent of modern computers. This book gives a simple, unified recipe to obtain precise solutions to virtually any few-body bound-state problem and presents its application to various problems in atomic, molecular, nuclear, subnuclear and solid state physics. The main ingredients of the methodology are a wave-function expansion in terms of correlated Gaussians and an optimization of the variational trial function by stochastic sampling. The book is written for physicists and, especially, for graduate students interested in quantum few-body physics.

The Quantum Mechanical Three-Body Problem
The Quantum Mechanical Three-Body Problem

Author: Erich W. Schmid

Publisher: Elsevier

Published: 2017-01-31

Total Pages: 226

ISBN-13: 1483160785

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The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.

Few-body Problems in Physics
Few-body Problems in Physics

Author: Yupeng Yan

Publisher: World Scientific

Published: 2007

Total Pages: 425

ISBN-13: 9812704817

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The Asia-Pacific Conferences on Few-Body Problems in Physics tackle cover the various aspects of few-body systems in physics, with high caliber contributions from internationally renowned researchers. Readers will gain a clear picture of the latest developments in the field in both the theoretical and experimental sectors.The scope of these proceedings covers research in the following areas: three-body forces and few-nucleon dynamics, hadron structure and QCD; exotic hadrons and atoms; effective field theory in few-body physics; electromagnetic and weak processes in few-body systems; few-body dynamics in atoms, molecules, Bose-Einstein condensates and quantum dots; few-body approaches to unstable nuclei, nuclear astrophysics and nuclear clustering aspects; and hypernuclear physics.

Few-Body Problems in Physics
Few-Body Problems in Physics

Author: Claudio Ciofi degli Atti

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 654

ISBN-13: 370917581X

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This book collects all of the invited papers and contributions to the Discussion Sessions, presented at the 13th European Conference on Few-Body Problems in Physics, and is addressed to senior and young researchers and students interested in the field of few-body problems in elementary particle and nuclear physics, as well as in atomic and molecular physics. The volume contains a survey of recent, and not yet published results on theoretical and experimental investigations of the structure of hadrons and hadronic systems, novel theoretical methods suitable for an accurate treatment of the few-body problems in different fields, present status and future developments in muon catalysed fusion. A detailed illustration of the few-body physics programs of running (MIT-Bates, CEBAF, CERN, HERA, Mainz, NIKHEF, SATURNE, Saskatchewan, SLAC , TRIUMF) and proposed (European Electron Facility Project, Indiana cooler beam) experimental facilities represents a valuable feature of the book.

Few-Body Problems in Particle, Nuclear, Atomic, and Molecular Physics
Few-Body Problems in Particle, Nuclear, Atomic, and Molecular Physics

Author: Jean-Louis Ballot

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 601

ISBN-13: 370918956X

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The 1987 Fontevraud Conference gathered more than 100 physicists for the purpose of discussing the latest developments of research on few-body problems. In addition to participants from most European countries representatives from Brazil, Canada, Israel, Japan, South Africa, and the USA took part in the meeting. In the conference program special emphasis was laid on bringing together the various fields, where few-body problems play an important role. Beyond the traditional areas of nuclear and particle physics, in recent years interest has been focussed especially on atomic and molecular physics. This developent is due to the design of new techniques for solving few-body problems under rather general premises. The proceedings contain all plenary talks and the contributions presented orally at the conference. They cover such topics as: few-quark systems and short-range phenomena, two- and three-body forces in quark as well as nucleonic systems, few-hadron bound states, response of few-body systems to electromagnetic and hadronic probes, form factors, hypernuclei, atomic and molecular few-body systems, hyperspherical method, separable expansions, numerical techniques, etc. It appears that recently, even in one year after the Tokyo-Sendai Conference, much progress has been achieved in research on various few-body systems. The present volume gives a comprehensive summary of the modern state of the art and at the same time a proper account of the most recent results obtained in the different institutions and laboratories.

Few-Body Problems in Physics ’02
Few-Body Problems in Physics ’02

Author: Rajmund Krivec

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 445

ISBN-13: 3709167280

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In this Supplement we have collected the invited and contributed talks pre sented at the XVIII European Conference on Few-Body Problems in Physics, organised by the Jozef Stefan Institute and the University of Ljubljana, Slove nia. The Conference, sponsored by the European Physical Society, took place at the lakeside resort of Bled from 8 to 14 September, 2002. This meeting was a part of the series of European Few-Body Conferences, previously held in Evora/Portugal (2000), Autrans/France (1998), Peniscola/Spain (1995), ... Our aim was to emphasise, to a larger extent than at previous Conferences, the interdisciplinarity of research fields of the Few-Body community. To pro mote a richer exchange of ideas, we therefore strived to avoid parallel sessions as much as possible. On the other hand, to promote the participation of young scientists who we feel will eventually shape the future of Few-Body Physics, we wished to give almost all attendees the opportunity to speak.

Coulomb Interactions in Nuclear and Atomic Few-Body Collisions
Coulomb Interactions in Nuclear and Atomic Few-Body Collisions

Author: Frank S. Levin

Publisher: Springer Science & Business Media

Published: 2013-11-21

Total Pages: 360

ISBN-13: 1475798806

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This series, Finite Systems and Multipartide Dynamics, is intended to provide timely reviews of current research topics, written in a style sufficient ly pedagogic so as to allow a nonexpert to grasp the underlying ideas as well as understand technical details. The series is an outgrowth of our involvement with three interdisciplin ary activities, namely, those arising from the American Physical Society's Topical Group on Few-Body Systems and Multipartide Dynamics, the series of Gordon Research Conferences first known by the title "Few-Body Problems in Chemistry and Physics" and later renamed "Dynamics of Simple Systems in Chemistry and Physics," and the series of Sanibel Symposia, sponsored in part by the University of Florida. The vitality of these activities and the enthusiastic response to them by researchers in various subfields of physics and chemistry have convinced us that there is a place-even a need-for a series of timely reviews on topics of interest not only to a narrow band of experts but also to a broader, interdisciplinary readership. lt is our hope that the emphasis on pedagogy will permit at least some of the books in the series to be useful in graduate-level courses. Rather than use the adjective "Few-Body" or "Simple" to modify the word "Systems" in the title, we have chosen "Finite. " It better expresses the wide range of systems with which the reviews of the series may deal.