Overview

This text explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory and generalized Sturmian basis functions. It also introduces methods which may be used to solve many-particle problems directly, without the use of the self-consistent-field approximation. The method of many-electron Sturmians offers an interesting alternative to the usual SCF-CI methods for calculating atomic and molecular structure. When many-electron Sturmians are used, and when the basis potential is chosen to be the attractive potential of the nuclei in the system, the following advantages are offered: the matrix representation of the nuclear attraction potential is diagonal; the kinetic energy term vanishes from the secular equation; the Slater exponents of the atomic orbitals are automatically optimized; convergence is rapid; a correlated solution to the many-electron problem can be obtained directly, without the use of the SCF approximation; and excited states can be obtained with good accuracy. The text should be of interest to advanced students and research workers in theoretical chemistry, physics and mathematics.

Full Product Details

Author:   John S. Avery
Publisher:   Springer
Imprint:   Springer
Edition:   2002 ed.
Volume:   4
Dimensions:   Width: 15.50cm , Height: 1.20cm , Length: 23.50cm
Weight:   1.050kg
ISBN:  

9780792360872

ISBN 10:   0792360877
Pages:   196
Publication Date:   30 November 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Many-particle Sturmians.- Momentum-space Wave Functions.- Hyperspherical Harmonics.- The Momentum-space Wave Equation.- Many-center Potentials.- Iteration of the Wave Equation.- Molecular Sturmians.- Relativistic Effects.

Reviews

From the reviews: This book should find its place on the shelves of theoretical chemists as a good companion to other well-known books by this author: Creation and annihilation operators and Quantum theory of atoms, molecules and photons . (Theoretical Chemistry Accounts, 106:236 (2001)

This book should find its place on the shelves of theoretical chemists as a good companion to other well-known books by this author: Creation and annihilation operators and Quantum theory of atoms, molecules and photons, ' Theoretical Chemistry Accounts, 106: 236 (2001)

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