An Algebraic Approach to the Many-Electron Problem / / by Jaroslav Zamastil, Tereza Uhlířová
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| Autore: |
Zamastil Jaroslav
|
| Titolo: |
An Algebraic Approach to the Many-Electron Problem / / by Jaroslav Zamastil, Tereza Uhlířová
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Edizione: | 1st ed. 2025. |
| Descrizione fisica: | 1 online resource (VIII, 71 p.) |
| Disciplina: | 530.12 |
| Soggetto topico: | Quantum theory |
| Quantum electrodynamics | |
| Mathematical physics | |
| Materials science - Data processing | |
| Electronic structure | |
| Quantum chemistry - Computer programs | |
| Solid state physics | |
| Quantum Physics | |
| Quantum Electrodynamics, Relativistic and Many-body Calculations | |
| Mathematical Methods in Physics | |
| Electronic Structure Calculations | |
| Electronic Devices | |
| Persona (resp. second.): | UhlířováTereza |
| Nota di contenuto: | Chapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | An Algebraic Approach to the Many-Electron Problem |
| ISBN: | 3-031-87825-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9911002548303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Physics, . 2191-5431