Approximate Solutions To Quantum Mechanical Three Body Problems
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Approximate Solutions To Quantum Mechanical Three Body Problems
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Author : Ronald Grubman
language : en
Publisher:
Release Date : 1971
Approximate Solutions To Quantum Mechanical Three Body Problems written by Ronald Grubman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Three-body problem categories.
The Quantum Mechanical Three Body Problem
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Author : Erich W. Schmid
language : en
Publisher: Elsevier
Release Date : 2017-01-31
The Quantum Mechanical Three Body Problem written by Erich W. Schmid and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Science categories.
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.
Improved Method For Quantum Mechanical Three Body Problems
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Author : Leonard Eyges
language : en
Publisher:
Release Date : 1965
Improved Method For Quantum Mechanical Three Body Problems written by Leonard Eyges and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Integral equations categories.
The quantum-mechanical ground-state problem for three identical particles bound by attractive inter-particle potentials is discussed. For this problem it has previously been shown that it is advantageous to write the wave function in a special functional form, form which an integral equation which is equivalent to the Schrodinger equation was derived. In this paper a new method for solving this equation is presented. The method involves an expansion of a two-body problem with a potential of the same shape as the inter-particle potential in the three-body problem, but of enhanced strength.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1975
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Nuclear energy categories.
The Quantum Mechanical Few Body Problem
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Author : W. Glöckle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Quantum Mechanical Few Body Problem written by W. Glöckle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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
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Author : Yasuyuki Suzuki
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
Stochastic Variational Approach To Quantum Mechanical Few Body Problems written by Yasuyuki Suzuki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.
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.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1973
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Nuclear energy categories.
Engineering Medicine And Science At The Nano Scale
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Author : Stephen J. Fonash
language : en
Publisher: John Wiley & Sons
Release Date : 2018-08-17
Engineering Medicine And Science At The Nano Scale written by Stephen J. Fonash and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-17 with Technology & Engineering categories.
Students at universities the world over will benefit from the authors' concise treatment, arising out of lectures given for a graduate and advanced undergraduate course at Penn State University (USA) and University of Technology Delft (NL). The textbook begins by addressing, in general terms, the phenomena and peculiarities that occur at the nanoscale. In the following five chapters, readers are introduced in detail to nanoscale physics, chemistry, materials science, and biology, followed by chapters on synthesis and fabrication as well as characterization at the nanoscale. In the next four chapters a variety of exemplary applications taken from a wide range of sectors are also presented and discussed. Concerns for safety, environmental impact, workforce development, economic wellbeing, and societal change issues arising from nanotechnology are woven throughout the book and additionally form the focus of the last two chapters.
Quantum Mechanical Three Body Problem With Short Range Interactions
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Author :
language : en
Publisher:
Release Date : 2003
Quantum Mechanical Three Body Problem With Short Range Interactions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Three-body problem categories.
Abstract: We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an approximation to the underlying physics, leading to an effective field theory. A method for perturbatively expanding the three-body bound-state equation in inverse powers of the cutoff is developed. This allows us to extract some analytical results concerning the behavior of the system. Further results are obtained by solving the leading order equations numerically to 11 or 12 digits of accuracy. The limit-cycle behavior of the required three-body contact interaction is computed, and the cutoff-independence of bound-state energies is shown. By studying the relationship between the two- and three-body binding energies, we obtain a high accuracy numerical calculation of Efimov's universal function. Equations for the first order corrections, necessary for the study of cutoff dependence, are derived. However, a numerical solution of these equations is not attempted.
Nuclear Spectroscopy And Reactions 40 B
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Author : Joseph Cerny
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Nuclear Spectroscopy And Reactions 40 B written by Joseph Cerny and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Nuclear Spectroscopy and Reactions, Part B covers information regarding the development of nuclear spectroscopy and its reactions, while emphasizing in-beam spectroscopy. This part specifically covers charged particle spectroscopy, spectroscopy from meson-induced reactions, and neutron spectroscopy. Organized into three sections, this book first discusses charged particle spectroscopy, which includes resonance reaction, reactions involving light ions, heavy-ion-induced reaction, and specialized reaction. The next section reviews spectroscopy from meson-induced reactions, including muonic and hadronic atoms; radiative capture; and charge exchange, scattering, and direct reactions. The final section discusses neutron spectroscopy, which includes advances in measurement of neutron spectra, charge exchange reactions, and polarization phenomena. This book is written to primarily benefit graduate students who are engaged in research that concerns nuclear spectroscopy.