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Hyperspherical Harmonics and Generalized Sturmians: 4 (Progress in Theoretical Chemistry and Physics, 4) - Softcover
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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.
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From the reviews:
"This book should find its place on the shelves of theoretical chemists as a good companion to other well-known books by this author: "Creation and annihilation operators" and "Quantum theory of atoms, molecules and photons"."
(Theoretical Chemistry Accounts, 106:236 (2001)
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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.
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Hyperspherical Harmonics and Generalized Sturmians (Progress in Theoretical Chemistry and Physics, 4)
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Hyperspherical Harmonics and Generalized Sturmians (Progress in Theoretical Chemistry and Physics, 4)
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Hyperspherical Harmonics and Generalized Sturmians
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Springer Netherlands Mai 2002, 2002
ISBN 10: 1402004095
ISBN 13: 9781402004094
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 208 pp. Englisch. Bestandsnummer des Verkäufers 9781402004094
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Hyperspherical Harmonics and Generalized Sturmians
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Zustand: New. Explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions. This work introduces methods, and the method of many-electron Sturmians offers an alternative to the usual SCF-CI methods for calculating atomic and molecular structure. Series: Progress in Theoretical Chemistry & Physics. Num Pages: 204 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 11. Weight in Grams: 299. . 2002. New ed. Paperback. . . . . Bestandsnummer des Verkäufers V9781402004094
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Hyperspherical Harmonics and Generalized Sturmians
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Springer-Verlag New York Inc., 2002
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ISBN 13: 9781402004094
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Hyperspherical Harmonics and Generalized Sturmians
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Zustand: New. Explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions. This work introduces methods, and the method of many-electron Sturmians offers an alternative to the usual SCF-CI methods for calculating atomic and molecular structure. Series: Progress in Theoretical Chemistry & Physics. Num Pages: 204 pages, biography. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 11. Weight in Grams: 299. . 2002. New ed. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9781402004094
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Hyperspherical Harmonics and Generalized Sturmians
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Springer Netherlands, 2002
ISBN 10: 1402004095
ISBN 13: 9781402004094
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Kartoniert / Broschiert. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction. 1. Many-Particle Sturmians. 2. Momentum-Space Wave Functions. 3. Hyperspherical Harmonics. 4. The Momentum-Space Wave Equation. 5. Many-Center Potentials. 6. Iteration of the Wave Equation. 7. Molecular Sturmians. 8. Relativistic Effects. A. G. Bestandsnummer des Verkäufers 4091827
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Hyperspherical Harmonics and Generalized Sturmians
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Springer, Springer Mai 2002, 2002
ISBN 10: 1402004095
ISBN 13: 9781402004094
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Many-particle Sturmians.- Momentum-space Wave Functions.- Hyperspherical Harmonics.- The Momentum-space Wave Equation.- Many-center Potentials.- Iteration of the Wave Equation.- Molecular Sturmians.- Relativistic Effects.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 208 pp. Englisch. Bestandsnummer des Verkäufers 9781402004094
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