東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

An algebraic approach to the many-el...

Zamastil, Jaroslav.

FindBook

Google Book

Amazon

博客來

An algebraic approach to the many-electron problem

紀錄類型:	書目-電子資源 : 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.
內容註:	Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.
Contained By:	Springer Nature eBook
標題:	Hartree-Fock approximation. -
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:

604744
Hartree-Fock approximation.

LC Class. No.: QC176.8.E4

Dewey Class. No.: 530.144015114

An algebraic approach to the many-electron problem
LDR:02424nmm a2200337 a 4500 001 2410506
003 DE-He213
005 20250508130240.0
006 m d
007 cr nn 008maaau
008 260204s2025 sz s 0 eng d
020 $a 9783031878251 $q (electronic bk.)
020 $a 9783031878244 $q (paper)
024 7 $a 10.1007/978-3-031-87825-1 $2 doi
035 $a 978-3-031-87825-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC176.8.E4
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.144015114 $2 23
090 $a QC176.8.E4 $b Z23 2025
100 1 $a Zamastil, Jaroslav. $3 3264885
245 1 3 $a An algebraic approach to the many-electron problem $h [electronic resource] / $c by Jaroslav Zamastil, Tereza Uhlířová.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a viii, 71 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5431
505 0 $a Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.
520 $a 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.
650 0 $a Hartree-Fock approximation. $3 604744
650 0 $a Many-body problem. $3 525019
650 1 4 $a Quantum Physics. $3 893952
650 2 4 $a Quantum Electrodynamics, Relativistic and Many-body Calculations. $3 3593588
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Electronic Structure Calculations. $3 3601508
650 2 4 $a Electronic Devices. $3 3538495
700 1 $a Uhlířová, Tereza. $3 3784438
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in physics. $3 1314314
856 4 0 $u https://doi.org/10.1007/978-3-031-87825-1
950 $a Physics and Astronomy (SpringerNature-11651)