Regularity and Approximability of Electronic Wave Functions / Lecture Notes in Mathematics Bd.2000 (PDF)
(Sprache: Englisch)
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...
sofort als Download lieferbar
Printausgabe 48.10 €
eBook (pdf) -4%
46.00 €
23 DeutschlandCard Punkte
sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „Regularity and Approximability of Electronic Wave Functions / Lecture Notes in Mathematics Bd.2000 (PDF)“
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.
Bibliographische Angaben
- Autor: Harry Yserentant
- 2010, 2010, 188 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3642122485
- ISBN-13: 9783642122484
- Erscheinungsdatum: 19.05.2010
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 2.28 MB
- Mit Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kopierschutz
Dieses eBook können Sie uneingeschränkt auf allen Geräten der tolino Familie lesen. Zum Lesen auf sonstigen eReadern und am PC benötigen Sie eine Adobe ID.
Pressezitat
From the reviews:“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)
Kommentar zu "Regularity and Approximability of Electronic Wave Functions / Lecture Notes in Mathematics Bd.2000"
0 Gebrauchte Artikel zu „Regularity and Approximability of Electronic Wave Functions / Lecture Notes in Mathematics Bd.2000“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Regularity and Approximability of Electronic Wave Functions / Lecture Notes in Mathematics Bd.2000".
Kommentar verfassen