Hyperspherical Harmonics and Generalized Sturmians
 |
|
Описание:
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.Похожие книги
 | Large-time behavior of solutions of linear dispersive equations Автор: Daniel B. Dix Год: 1997 |
 | Digital Phase Lock Loops: Architectures and Applications Автор: Saleh R. Al-Araji Год: 2006 |
| Dual models and relativistic quantum strings Автор: Rebbi. Год: 1974 |
| Estimation of unknown parameters in nonlinear and non-Gaussian state-space models Автор: Tanizaki H. Год: 2000 |
 | Betanin Год: 2011 |