Improved Method for Quantum-mechanical Three-body Problems PDF Download
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Author: Leonard Eyges
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 18
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Book Description
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.
Author: Leonard Eyges
Publisher:
ISBN:
Category : Integral equations
Languages : en
Pages : 18
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Book Description
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.
Author: Erich W. Schmid
Publisher: Elsevier
ISBN: 1483160785
Category : Science
Languages : en
Pages : 226
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Book Description
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.
Author: Air Force Cambridge Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 392
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Book Description
Author: Norman Henry March
Publisher: Courier Corporation
ISBN: 0486687546
Category : Science
Languages : en
Pages : 482
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Book Description
Single-volume account of methods used in dealing with the many-body problem and the resulting physics. Single-particle approximations, second quantization, many-body perturbation theory, Fermi fluids, superconductivity, many-boson systems, more. Each chapter contains well-chosen problems. Only prerequisite is basic understanding of elementary quantum mechanics. 1967 edition.
Author: United States. Air Force. Office of Aerospace Research
Publisher:
ISBN:
Category : Aeronautics, Military
Languages : en
Pages : 576
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Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 1466
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Author: Air Force Cambridge Research Laboratories (U.S.)
Publisher:
ISBN:
Category : Atmosphere, Upper
Languages : en
Pages : 88
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Book Description
The bibliography of AFCRL in-house technical reports lists all reports issued in the existing series. In addition, appendices list reports issued from 1962 to 1964 when series designations were not used, and reports issued in now-defunct series.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 704
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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 776
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Book Description
Author: Indian National Science Academy
Publisher:
ISBN:
Category : Biology
Languages : en
Pages : 426
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Book Description
