Approach to the Three-body Scattering Problem

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Approach to the Three-body Scattering Problem by : John R. Jasperse

Download or read book Approach to the Three-body Scattering Problem written by John R. Jasperse and published by . This book was released on 1967 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'partial wavefunction approach' to the three-body scattering problem is used to derive some new equations for the wavefunction. All scattering processes are solutions of inhomogeneous coupled integral equations for the scattered parts of the total wavefunction. The Pauli principle is incorporated when two or all of the particles are identical. This leads to a reduction in the number of independent scattered partial wavefunctions when two or all of the particles are identical. The kernels in the integral equations contain no delta functions but each scattered partial wavefunction does have a selfcoupling term. Applied to the scattering of three identical bosons interacting through zero-range pair potentials, the method gives the same equation as obtained by the Faddeev T-matrix approach. (Author).

An Approach to the Bound-state Three-body Problem with Application to the Helium-like Atom

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Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Approach to the Bound-state Three-body Problem with Application to the Helium-like Atom by : John R. Jasperse

Download or read book An Approach to the Bound-state Three-body Problem with Application to the Helium-like Atom written by John R. Jasperse and published by . This book was released on 1967 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: A technique is presented for treating a general type of three-body bound-state problem for situations where the interaction may be written as the sum of three pair potentials. The method is based on the work of Eyges and consists of writing the total wavefunction for the three-body problem in a special form. Some simple one-dimensional applications are examined. The first involves delta-function pair-potentials including an example where one of the pair interactions is repulsive. The second involves the one-dimensional problem of three identical spinless particles interacting through attractive, square-well potentials. The helium atom is discussed from a three-body point of view. Each orbital is expanded into a complete set of two-body Sturmian functions for the Coulomb potential. For states in atomic helium of the form L=0 the equations assume a simplified form. For these states, the infinite set of integral equations generated by the expansion is truncated at several orders and solved numerically. Rapid convergence is demonstrated for low-lying states of the helium-like atoms using this method. In particular, results are reported for the 1s1s(1)S, 1s2s(1)S, and 2s2s(1)S states of He, Li(+), and H( - ).

The Three-Body Problem

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Publisher : Cambridge University Press
ISBN 13 : 9780521852241
Total Pages : 366 pages
Book Rating : 4.8/5 (522 download)

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Book Synopsis The Three-Body Problem by : Mauri J. Valtonen

Download or read book The Three-Body Problem written by Mauri J. Valtonen and published by Cambridge University Press. This book was released on 2006-03-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.

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.

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.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 1572 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Euroschool on Exotic Beams, Vol. IV

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Publisher : Springer
ISBN 13 : 3642451411
Total Pages : 362 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis The Euroschool on Exotic Beams, Vol. IV by : Christoph Scheidenberger

Download or read book The Euroschool on Exotic Beams, Vol. IV written by Christoph Scheidenberger and published by Springer. This book was released on 2014-01-10 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the forth volume in a series of Lecture Notes based on the highly successful Euro Summer School on Exotic Beams. The aim of these notes is to provide a thorough introduction to radioactive ion-beam physics at the level of graduate students and young postdocs starting out in the field. Each volume covers a range of topics from nuclear theory to experiment and applications. Vol I has been published as LNP 651, Vol II has been published as LNP 700, and Vol. III has been published as LNP 764.

The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future

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Publisher : Frontiers Media SA
ISBN 13 : 2889663485
Total Pages : 373 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future by : Laura Elisa Marcucci

Download or read book The Long-Lasting Quest for Nuclear Interactions: The Past, the Present and the Future written by Laura Elisa Marcucci and published by Frontiers Media SA. This book was released on 2021-01-05 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Energy Research Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1190 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Energy Research Abstracts by :

Download or read book Energy Research Abstracts written by and published by . This book was released on 1978 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Few Body Dynamics, Efimov Effect and Halo Nuclei

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Publisher : Springer Nature
ISBN 13 : 3030561712
Total Pages : 127 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Few Body Dynamics, Efimov Effect and Halo Nuclei by : Vidya Sagar Bhasin

Download or read book Few Body Dynamics, Efimov Effect and Halo Nuclei written by Vidya Sagar Bhasin and published by Springer Nature. This book was released on 2020-12-20 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Proceedings of MEST 2012: Exponential Type Orbitals for Molecular Electronic Structure Theory

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Publisher : Academic Press
ISBN 13 : 0124115594
Total Pages : 311 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Proceedings of MEST 2012: Exponential Type Orbitals for Molecular Electronic Structure Theory by :

Download or read book Proceedings of MEST 2012: Exponential Type Orbitals for Molecular Electronic Structure Theory written by and published by Academic Press. This book was released on 2013-11-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. It features detailed reviews written by leading international researchers. This volume focuses on the theory of heavy ion physics in medicine. - Advances in Quantum Chemistry presents surveys of current topics in this rapidly developing field and this volume focuses on the theory of heavy ion physics in medicine

Pi NN Systems

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Publisher : World Scientific
ISBN 13 : 9789971508470
Total Pages : 328 pages
Book Rating : 4.5/5 (84 download)

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Book Synopsis Pi NN Systems by : Humberto Garcilazo

Download or read book Pi NN Systems written by Humberto Garcilazo and published by World Scientific. This book was released on 1990 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive review of the current status of the theory of the pion-two-nucleon systems at intermediate energies. It also makes an extensive comparison of the theoretical prediction with the corresponding data obtained recently from the major meson factories.

High Energy Physics Index

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Publisher :
ISBN 13 :
Total Pages : 678 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis High Energy Physics Index by :

Download or read book High Energy Physics Index written by and published by . This book was released on 1988 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulative Title Index to United States Public Documents, 1789-1976

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Publisher : Arlington, Va. : United States Historical Documents Institute
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Cumulative Title Index to United States Public Documents, 1789-1976 by : Sandra K. Faull

Download or read book Cumulative Title Index to United States Public Documents, 1789-1976 written by Sandra K. Faull and published by Arlington, Va. : United States Historical Documents Institute. This book was released on 1979 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Particle at the End of the Universe

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Publisher : Dutton
ISBN 13 : 0142180300
Total Pages : 370 pages
Book Rating : 4.1/5 (421 download)

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Book Synopsis The Particle at the End of the Universe by : Sean Carroll

Download or read book The Particle at the End of the Universe written by Sean Carroll and published by Dutton. This book was released on 2013-08-27 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Higgs boson ... is the key to understanding why mass exists and how atoms are possible. After billions of dollars and decades of effort by more than six thousand researchers at the Large Hadron Collider in Switzerland--a doorway is opening into the mind-boggling world of dark matter and beyond. Caltech physicist and acclaimed writer Sean Carroll explains both the importance of the Higgs boson and the ultimately human story behind the greatest scientific achievement of our time"--Publisher