Hyperspherical Harmonics and Generalized Sturmians (Progress in Theoretical Chemistry and Physics)
Editorial Reviews
Book Description
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. Audience: The book will be of interest to advanced students and research workers in theoretical chemistry, physics and mathematics.
Book Info
Explores the connection between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions. Introduces methods that may be used to solve many-particle problems directly, without the use of the self-consistant-field approximation.
Hyperspherical Harmonics and Generalized Sturmians (Progress in Theoretical Chemistry and Physics),John S. Avery,Springer,0792360877,Astronomy - General,Chemistry - Physical & Theoretical,General,Many-body problem,Mathematics,Quantum Chemistry,Quantum Mechanics,Quantum Theory,Science,Science/Mathematics,Science / Quantum Theory
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