Hyperspherical Harmonics and Generalized Sturmians John S. Avery

ISBN: 9781280205101

Published: January 1st 1999

ebook

205 pages


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Hyperspherical Harmonics and Generalized Sturmians  by  John S. Avery

Hyperspherical Harmonics and Generalized Sturmians by John S. Avery
January 1st 1999 | ebook | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 205 pages | ISBN: 9781280205101 | 9.77 Mb

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, withoutMoreThis 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.



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