An Algebraic Approach to the Many-Electron Problem

Name: An Algebraic Approach to the Many-Electron Problem
Brand: Springer, Berlin
SKU: 9783031878275
Price: 248.64 RON
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Autor: Jaroslav Zamastil, Tereza Uhlírová

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Editura: Springer, Berlin

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This book presents an algebraic approach to the coupled cluster method for many-electron systems, pi...

Informații despre carte

Autor

Jaroslav Zamastil, Tereza Uhlírová

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2025

Pagini

EAN

9783031878275

Enbook ID

48206041

Editura

Springer, Berlin

Greutate

137

Dimensiuni

155 x 235

Descriere completă

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.

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