Regularity and Approximability of Electronic Wave Functions
The electronic Schrödinger equation describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3N variables, with three spatial dimensions for each electron. Approximating these solutions...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2010. |
| Colección: | Lecture Notes in Mathematics
2000 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 191 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Regularity and approximability of electronic wave functions, Harry Yserentant, Berlin, Springer, 2010, 1 vol. (VIII-182 p.), Lecture notes in mathematics, 978-3-642-12247-7 |
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| 100 | 1 | |a Yserentant, Harry. | |
| 245 | 1 | 0 | |a Regularity and Approximability of Electronic Wave Functions |c Harry Yserentant. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2000 |x 1617-9692 | |
| 500 | |a L'impression du document génère 191 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a and Outline Fourier Analysis The Basics of Quantum Mechanics The Electronic Schrödinger Equation Spectrum and Exponential Decay Existence and Decay of Mixed Derivatives Eigenfunction Expansions Convergence Rates and Complexity Bounds The Radial-Angular Decomposition | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The electronic Schrödinger equation describes the motion of N-electrons under Coulomb interaction forces in a field of clamped nuclei. The solutions of this equation, the electronic wave functions, depend on 3N variables, with three spatial dimensions for each electron. Approximating these solutions is thus inordinately challenging, and it is generally believed that a reduction to simplified models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to show readers 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 text is accessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical background and requires no deeper knowledge of the theory of partial differential equations, functional analysis, or quantum theory | ||
| 650 | |a Molécules | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Opérateur de Schrödinger | ||
| 650 | |a Fourier, Analyse de | ||
| 650 | |a Fonctions d'onde | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Équation de Schrödinger | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Mathématiques | ||
| 650 | |a Électrons |x Corrélation | ||
| 776 | 0 | |0 145072045 |t Regularity and approximability of electronic wave functions |f Harry Yserentant |c Berlin |n Springer |d 2010 |p 1 vol. (VIII-182 p.) |s Lecture notes in mathematics |z 978-3-642-12247-7 | |
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