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Regularity Approximability Electronic Wave by Yserentant Harry (10 results)
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Regularity and Approximability of Electronic Wave Functions (Lecture Notes in Mathematics, 2000)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
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Regularity and Approximability of Electronic Wave Functions
Published by Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010
ISBN 10: 3642122477 ISBN 13: 9783642122477
Language: English
£ 44.84
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The electronic Schrodi nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training.
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Regularity and Approximability of Electronic Wave Functions
Published by Berlin Springer Berlin Heidelberg Springer Jun 2010, 2010
ISBN 10: 3642122477 ISBN 13: 9783642122477
Language: English
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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£ 41.76
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The electronic Schrodi nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training. 188 pp. Englisch.
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Regularity and Approximability of Electronic Wave Functions
Published by Springer Berlin Heidelberg, 2010
ISBN 10: 3642122477 ISBN 13: 9783642122477
Language: English
£ 38.45
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Add to basketKartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The style is excellent and pedagogicalThe author is first class analystAccessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical backgroundT.
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Condition: New. Print on Demand pp. 198 Illus.
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Add to basketCondition: New. PRINT ON DEMAND pp. 198.
