Hyperspherical Harmonics and Generalized Sturmians

By:

John S Avery

Format:

Hardback

Series:

Progress in Theoretical Chemistry and Physics

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Description

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.

Release date NZ

November 30th, 1999

Author

John S Avery

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

VIII, 196 p.

Pages

196

Series

Progress in Theoretical Chemistry and Physics

Dimensions

155x235x12

ISBN-13

9780792360872

Product ID

2051754

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