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An algebraic approach to the many-electron problem

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An algebraic approach to the many-electron problem/ by Jaroslav Zamastil, Tereza Uhlířová.
作者:	Zamastil, Jaroslav.
其他作者:	Uhlířová, Tereza.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	viii, 71 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Electronic Devices. -
電子資源:	https://doi.org/10.1007/978-3-031-87825-1
ISBN:	9783031878251

An algebraic approach to the many-electron problem
Zamastil, Jaroslav.

An algebraic approach to the many-electron problem[electronic resource] /by Jaroslav Zamastil, Tereza Uhlířová. - Cham :Springer Nature Switzerland :2025. - viii, 71 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5431. - SpringerBriefs in physics..

Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.

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.

ISBN: 9783031878251

Standard No.: 10.1007/978-3-031-87825-1doiSubjects--Topical Terms:

1366460
Electronic Devices.

LC Class. No.: QC176.8.E4

Dewey Class. No.: 530.144015114

An algebraic approach to the many-electron problem
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