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Regularity and Approximability of Electronic Wave Functions (Lecture Notes in Mathematics (2000)) by Harry Yserentant is a nonfiction available to read on EtoBox.

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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 th

Who reads Regularity and Approximability of Electronic Wave Functions (Lecture Notes in Mathematics (2000))?

Author

Harry Yserentant

Publisher

Springer Berlin Heidelberg

Published

2010

Language

EN

ISBN

9786613569646

Category

nonfiction

Subjects

Mathematics, Science, Physics