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

Hyperspherical Harmonics and Generalized Sturmians - Taschenbuch

2002, ISBN: 1402004095

ID: 9730368508

[EAN: 9781402004094], Neubuch, [PU: Springer Mai 2002], ATOMPHYSIK; KERNPHYSIK - KERN (ATOMKERN); (ATOMKERN) ( ); PHYSIK / ATOMPHYSIK, KERNPHYSIK; PHYSIKALISCHE CHEMIE; QUANTENPHYSIK; QUANTENPHYSIK, This item is printed on demand - Print on Demand Titel. Neuware - 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. 196 pp. Englisch

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2002, ISBN: 9781402004094

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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 Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 31.05.2002, Springer, .200

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Hyperspherical Harmonics and Generalized Sturmians 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4020-0409-4, 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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ID: 143625711

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, John S. Avery
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John S. Avery, John S. Avery:
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ISBN: 9781402004094

ID: 978140200409

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

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Hyperspherical Harmonics and Generalized Sturmians
Autor:

Avery, John S.

Titel:

Hyperspherical Harmonics and Generalized Sturmians

ISBN-Nummer:

9781402004094

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
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 30.10.2016 18:50:50
ISBN/EAN: 9781402004094

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

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