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Hyperspherical Harmonics and Generalized Sturmians - Avery, John S.
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Avery, John S.:
Hyperspherical Harmonics and Generalized Sturmians - Taschenbuch

2002, ISBN: 9781402004094

[ED: Softcover], [PU: Springer Netherlands], n Angular Momentum Theory for Diatomic Molecules, R R method of trees, 3 construct the wave functions of more complicated systems for ex- ple many electron atoms or molecules. However, it was soon realized that unless the continuum is included, a set of hydrogenlike orbitals is not complete. To remedy this defect, Shull and Löwdin [273] - troduced sets of radial functions which could be expressed in terms of Laguerre polynomials multiplied by exponential factors. The sets were constructed in such a way as to be complete, i. e. any radial fu- tion obeying the appropriate boundary conditions could be expanded in terms of the Shull-Löwdin basis sets. Later Rotenberg [256, 257] gave the name Sturmian to basis sets of this type in order to emp- size their connection with Sturm-Liouville theory. There is a large and rapidly-growing literature on Sturmian basis functions and selections from this literature are cited in the bibliography. In 1968, Goscinski [138] completed a study ofthe properties ofSt- rnian basis sets, formulating the problem in such a way as to make generalization of the concept very easy. In the present text, we shall follow Goscinski s easily generalizable definition of Sturmians. 2002. 2002. viii, 196 S. VIII, 200 p. 233 mm Versandfertig in 3-5 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Hyperspherical Harmonics and Generalized Sturmians - John S. Avery
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n Angular Momentum Theory for Diatomic Molecules, R R method of trees, 3 construct the wave functions of more complicated systems for ex- ple many electron atoms or molecules. However, it was soon realized that unless the continuum is included, a set of hydrogenlike orbitals is not complete. To remedy this defect, Shull and Löwdin [273] - troduced sets of radial functions which could be expressed in terms of Laguerre polynomials multiplied by exponential factors. The sets were constructed in such a way as to be complete, i. e. any radial fu- tion obeying the appropriate boundary conditions could be expanded in terms of the Shull-Löwdin basis sets. Later Rotenberg [256, 257] gave the name Sturmian to basis sets of this type in order to emp- size their connection with Sturm-Liouville theory. There is a large and rapidly-growing literature on Sturmian basis functions; and selections from this literature are cited in the bibliography. In 1968, Goscinski [138] completed a study ofthe properties ofSt- rnian basis sets, formulating the problem in such a way as to make generalization of the concept very easy. In the present text, we shall follow Goscinski s easily generalizable definition of Sturmians. Hyperspherical Harmonics and Generalized Sturmians Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Hyperspherical Harmonics and Generalized Sturmians - John S. Avery
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John S. Avery:
Hyperspherical Harmonics and Generalized Sturmians - neues Buch

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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. John S. Avery, Books, Science and Nature, Hyperspherical Harmonics and Generalized Sturmians Books>Science and Nature, Springer Netherlands

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2002, ISBN: 9781402004094

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Hyperspherical Harmonics and Generalized Sturmians:2002. Auflage John S. Avery Hyperspherical Harmonics and Generalized Sturmians:2002. Auflage John S. Avery Bücher > Wissenschaft > Physik, Springer

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Avery, John S.: Hyperspherical Harmonics and Generalized Sturmians
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Details zum Buch
Hyperspherical Harmonics and Generalized Sturmians

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.

Detailangaben zum Buch - Hyperspherical Harmonics and Generalized Sturmians


EAN (ISBN-13): 9781402004094
ISBN (ISBN-10): 1402004095
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2002
Herausgeber: Springer-Verlag GmbH
208 Seiten
Gewicht: 0,319 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 09.01.2007 13:16:58
Buch zuletzt gefunden am 10.09.2017 10:50:08
ISBN/EAN: 9781402004094

ISBN - alternative Schreibweisen:
1-4020-0409-5, 978-1-4020-0409-4


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