The three-body problem with threshold singularities
Author: Michael Loss
Publisher:
Published: 1982
Total Pages: 0
ISBN-13:
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The Three-body Problem with Threshold Singularities
Author: Peter Michael Loss
Publisher:
Published: 1982
Total Pages: 103
ISBN-13:
DOWNLOAD EBOOKScattering Theory of Classical and Quantum N-Particle Systems
Author: Jan Derezinski
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 448
ISBN-13: 3662034034
DOWNLOAD EBOOKThis monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the classical and quantum mechanics of N-particle systems. Particular attention is paid to long-range potentials. For a large class of interactions the existence of the asymptotic velocity and the asymptotic completeness of the wave operators is shown. The book is self-contained and explains in detail concepts that deepen the understanding. As a special feature of the book, the beautiful analogy between classical and quantum scattering theory (e.g., for N-body Hamiltonians) is presented with deep insight into the physical and mathematical problems.
Schrödinger Operators The Quantum Mechanical Many-Body Problem
Author: Erik Balslev
Publisher: Springer
Published: 2005-08-11
Total Pages: 272
ISBN-13: 3540471073
DOWNLOAD EBOOKIn these proceedings basic questions regarding n-body Schr|dinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for short-range potentials, energy asymptotics of large Coulomb systems,asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schr|dinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schr|dinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work.
Differential Equations
Author: I.W. Knowles
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 629
ISBN-13: 0080872034
DOWNLOAD EBOOKThis volume forms a record of the lectures given at this International Conference. Under the general heading of the equations of mathematical physics, contributions are included on a broad range of topics in the theory and applications of ordinary and partial differential equations, including both linear and non-linear equations. The topics cover a wide variety of methods (spectral, theoretical, variational, topological, semi-group), and a equally wide variety of equations including the Laplace equation, Navier-Stokes equations, Boltzmann's equation, reaction-diffusion equations, Schroedinger equations and certain non-linear wave equations. A number of papers are devoted to multi-particle scattering theory, and to inverse theory. In addition, many of the plenary lectures contain a significant amount of survey material on a wide variety of these topics.
The Singularities of the Three-body Problem
Author: Carl Ludwig Siegel
Publisher:
Published: 1967
Total Pages: 490
ISBN-13:
DOWNLOAD EBOOKThree-particle Physics And Dispersion Relation Theory
Author: A V Anisovich
Publisher: World Scientific
Published: 2013-03-25
Total Pages: 342
ISBN-13: 9814478822
DOWNLOAD EBOOKThe necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.
The Few Body Problem
Author: F. S. Levin
Publisher: Elsevier
Published: 2013-10-22
Total Pages: 422
ISBN-13: 1483257096
DOWNLOAD EBOOKThe Few Body Problem covers the proceedings of the Ninth International Conference on the Few Body Problem, held in Eugene, Oregon, USA on August 17-23, 1980. The book focuses on relativistic and particle physics, intermediate energy physics, nuclear, atomic, and molecular physics, and chemistry. The selection first offers information on nucleon-nucleon interaction in applications, including derivation of the nucleon-nucleon potential, nuclear many-body problem, and classic nuclear structure. The text also looks at three- and four-nucleon systems and graphs of three-body wave functions. The publication elaborates on K-meson experiments and non-mesonic few-nucleon phenomena. Topics include tests of invariance principles, properties of nuclei, dynamics, and hypernuclear physics. The manuscript also ponders on the Coulomb problem, atomic, molecular, and nuclear collisions, and muon capture in hydrogen isotopes. The selection is a dependable reference for readers interested in the few body problem.
Nuclear Science Abstracts
Author:
Publisher:
Published: 1975
Total Pages: 632
ISBN-13:
DOWNLOAD EBOOKNSA is a comprehensive collection of international nuclear science and technology literature for the period 1948 through 1976, pre-dating the prestigious INIS database, which began in 1970. NSA existed as a printed product (Volumes 1-33) initially, created by DOE's predecessor, the U.S. Atomic Energy Commission (AEC). NSA includes citations to scientific and technical reports from the AEC, the U.S. Energy Research and Development Administration and its contractors, plus other agencies and international organizations, universities, and industrial and research organizations. References to books, conference proceedings, papers, patents, dissertations, engineering drawings, and journal articles from worldwide sources are also included. Abstracts and full text are provided if available.
The Three-Body Problem
Author: C. Marchal
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 593
ISBN-13: 0444600744
DOWNLOAD EBOOKRecent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The most recent tests of escape have yielded very impressive results and border very close on the true limits of escape, showing the domain of bounded motions to be much smaller than was expected. An entirely new picture of the three-body problem is emerging, and the book reports on this recent progress. The structure of the solutions for the three-body problem lead to a general conjecture governing the picture of solutions for all Hamiltonian problems. The periodic, quasi-periodic and almost-periodic solutions form the basis for the set of solutions and separate the chaotic solutions from the open solutions.
