An Approach To The Bound State Three Body Problem With Application To The Helium Like Atom
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An Approach To The Bound State Three Body Problem With Application To The Helium Like Atom
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Author : John R. Jasperse
language : en
Publisher:
Release Date : 1967
An Approach To The Bound State Three Body Problem With Application To The Helium Like Atom written by John R. Jasperse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Energy levels (Quantum mechanics) categories.
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( - ).
An Approach To The Bound State Three Body Problem With Application To The Helium Like Atom
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Author : J. R. Jasperse
language : en
Publisher:
Release Date : 1967
An Approach To The Bound State Three Body Problem With Application To The Helium Like Atom written by J. R. Jasperse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Energy levels (Quantum mechanics) categories.
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( - )
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1972-10
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 1972-10 with Nuclear energy categories.
Oar Cumulative Index Of Research Results
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Author :
language : en
Publisher:
Release Date : 1967
Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Technical Abstract Bulletin
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Author : Defense Documentation Center (U.S.)
language : en
Publisher:
Release Date : 1967
Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Science categories.
Government Wide Index To Federal Research Development Reports
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Author :
language : en
Publisher:
Release Date : 1967
Government Wide Index To Federal Research Development Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Government publications categories.
Report On Research At Afcrl
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Author : Air Force Cambridge Research Laboratories (U.S.)
language : en
Publisher:
Release Date : 1970
Report On Research At Afcrl written by Air Force Cambridge Research Laboratories (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Geophysics categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1968
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Aeronautics categories.
Bibliography Of Afcrl Publications From 1 July 1966 To 30 September 1967
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Author : Air Force Cambridge Research Laboratories (U.S.)
language : en
Publisher:
Release Date : 1968
Bibliography Of Afcrl Publications From 1 July 1966 To 30 September 1967 written by Air Force Cambridge Research Laboratories (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Astrophysics categories.
This bibliography lists all in-house reports, journal articles, and contractor reports issued from 1 July 1966 to 30 September 1967. Part I lists all in-house reports by the series in which they were issued; Part II lists all in-house reports, journal articles, and contractor reports by the Laboratory responsible for their preparation. In Part I, the reports are listed numerically by series; in Part II, in-house reports and journal articles are listed alphabetically by author, and contractor reports are listed numerically by the AFCRL report number.
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.