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Hyperspherical Harmonics and Generalized Sturmians [electronic resource] / by John Avery

Author:
Avery, John
Published:
Dordrecht : Springer Netherlands, 2002.
Physical Description:
VIII, 200 pages : online resource
Additional Creators:
SpringerLink (Online service)
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Series:
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.
Summary:
This book explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions; and it 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 and fresh 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.
Subject(s):
ISBN:
9780306469442
Digital File Characteristics:
text file PDF
Note:
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.
Part Of:
Springer eBooks
View MARC record | catkey: 11943886