Regularity and Approximability of Electronic Wave Functions: 2000 (Lecture Notes in Mathematics) - Tapa blanda

Yserentant, Harry

9783642122477: Regularity and Approximability of Electronic Wave Functions: 2000 (Lecture Notes in Mathematics)

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ISBN 10: 3642122477 ISBN 13: 9783642122477

Editorial: Springer, 2010

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“This monograph discusses the possible direct approximation of the wavefunction itself, in view of several nice properties of the functions at hand (spatial exponential decay, symmetries, regularity, etc.). ... the book is very pleasant to read, having been written very carefully, and with many proofs provided explicitly. The text should be understandable to any graduate student in (applied) mathematics, as well as students and researchers from chemistry and physics ... .”�� (Gabriel Stoltz, Mathematical Reviews, Issue 2011 d)

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This book describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The content requires no deeper knowledge of the theory of partial differential equations, of functional analysis, or quantum theory.

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EditorialSpringer
A�o de publicaci�n2010
ISBN 10 3642122477
ISBN 13 9783642122477
Encuadernaci�nTapa blanda
IdiomaIngl�s
N�mero de p�ginas196
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Regularity and Approximability of Electronic Wave Functions

Harry Yserentant

Publicado por Berlin Springer Berlin Heidelberg Springer Jun 2010, 2010

ISBN 10: 3642122477 ISBN 13: 9783642122477

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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania

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Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783642122477

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Regularity and Approximability of Electronic Wave Functions (Lecture Notes in Mathematics, 2000)

Yserentant, Harry

Publicado por Springer, 2010

ISBN 10: 3642122477 ISBN 13: 9783642122477

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Regularity and Approximability of Electronic Wave Functions

Harry Yserentant

Publicado por Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010

ISBN 10: 3642122477 ISBN 13: 9783642122477

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Taschenbuch. Condici�n: 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. N� de ref. del art�culo: 9783642122477

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Regularity and Approximability of Electronic Wave Functions

Harry Yserentant

Publicado por Springer Berlin Heidelberg, 2010

ISBN 10: 3642122477 ISBN 13: 9783642122477

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Kartoniert / Broschiert. Condici�n: 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. N� de ref. del art�culo: 5049804

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