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hyperspherical harmonics and generalized sturmians (en Inglés)
Avery (Autor)
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Springer
· Libro Físico
hyperspherical harmonics and generalized sturmians (en Inglés) - avery
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Reseña del libro "hyperspherical harmonics and generalized sturmians (en Inglés)"
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.
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