Format:
1 Online-Ressource(VIII, 71 p.)
Edition:
1st ed. 2025.
ISBN:
9783031878251
Series Statement:
SpringerBriefs in Physics
Content:
Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.
Content:
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.
Additional Edition:
ISBN 9783031878244
Additional Edition:
ISBN 9783031878268
Additional Edition:
ISBN 9783031878275
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031878244
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031878268
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783031878275
Language:
English
DOI:
10.1007/978-3-031-87825-1
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