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An Algebraic Approach to the Many-Electron Problem / by Jaroslav Zamastil, Tereza Uhlířová

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerBriefs in PhysicsPublisher: Cham : Springer Nature Switzerland, 2025Publisher: Cham : Imprint: Springer, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(VIII, 71 p.)ISBN:
  • 9783031878251
Subject(s): Additional physical formats: 9783031878244 | 9783031878268 | 9783031878275 | Erscheint auch als: 9783031878244 Druck-Ausgabe | Erscheint auch als: 9783031878268 Druck-Ausgabe | Erscheint auch als: 9783031878275 Druck-AusgabeDDC classification:
  • 530.12 23
DOI: DOI: 10.1007/978-3-031-87825-1Online resources: Summary: Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.Summary: This book presents an algebraic approach to the coupled cluster method for many-electron systems, pioneered by Josef Paldus. Using field methods along with an algebraic, rather than diagrammatic, approach facilitates a way of deriving the coupled cluster method which is readily understandable at the graduate level. The book begins with the notion of the quantized electron field and shows how the N-electron Hamiltonian can be expressed in its language. This is followed by introduction of the Fermi vacuum and derivation of the Hartree-Fock equations along with conditions for stability of their solutions. Following this groundwork, the book discusses a method of configuration interaction to account for dynamical correlations between electrons, pointing out the size-extensivity problem, and showing how this problem is solved with the coupled cluster approach. This is followed by derivation of the coupled cluster equations in spin-orbital form. Finally, the book explores practical aspects, showing how one may take advantage of permutational and spin symmetries, and how to solve coupled-cluster equations, illustrated by the Hubbard model of benzene, the simplest quasi-realistic model of electron correlation.PPN: PPN: 1925485986Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-PHA | ZDB-2-SXP
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