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101 0 $aeng
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200 13$aAn Algebraic Approach to the Many-Electron Problem /$fby Jaroslav Zamastil, Tereza Uhlí?ová
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (VIII, 71 p.) 
225 1 $aSpringerBriefs in Physics,$x2191-5431
311 08$a3-031-87824-8 
311 08$a3-031-87827-2 
327   $aChapter 1: Quantized electron field -- Chapter 2: Hartree-Fock approximation -- Chapter 3: Coupled cluster method -- Chapter 4: Further developments.
330   $aThis book presents an algebraic approach to the coupled cluster method for many-electron systems, pioneered by Josef Paldus. Using field methods along with an algebraic, rather than diagrammatic, approach facilitates a way of deriving the coupled cluster method which is readily understandable at the graduate level. The book begins with the notion of the quantized electron field and shows how the N-electron Hamiltonian can be expressed in its language. This is followed by introduction of the Fermi vacuum and derivation of the Hartree-Fock equations along with conditions for stability of their solutions. Following this groundwork, the book discusses a method of configuration interaction to account for dynamical correlations between electrons, pointing out the size-extensivity problem, and showing how this problem is solved with the coupled cluster approach. This is followed by derivation of the coupled cluster equations in spin-orbital form. Finally, the book explores practical aspects, showing how one may take advantage of permutational and spin symmetries, and how to solve coupled-cluster equations, illustrated by the Hubbard model of benzene, the simplest quasi-realistic model of electron correlation.
410  0$aSpringerBriefs in Physics,$x2191-5431
606   $aQuantum theory
606   $aQuantum electrodynamics
606   $aMathematical physics
606   $aMaterials science$xData processing
606   $aElectronic structure
606   $aQuantum chemistry$xComputer programs
606   $aSolid state physics
606   $aQuantum Physics
606   $aQuantum Electrodynamics, Relativistic and Many-body Calculations
606   $aMathematical Methods in Physics
606   $aElectronic Structure Calculations
606   $aElectronic Devices
615  0$aQuantum theory.
615  0$aQuantum electrodynamics.
615  0$aMathematical physics.
615  0$aMaterials science$xData processing.
615  0$aElectronic structure.
615  0$aQuantum chemistry$xComputer programs.
615  0$aSolid state physics.
615 14$aQuantum Physics.
615 24$aQuantum Electrodynamics, Relativistic and Many-body Calculations.
615 24$aMathematical Methods in Physics.
615 24$aElectronic Structure Calculations.
615 24$aElectronic Devices.
676   $a530.12
700   $aZamastil$b Jaroslav$4aut$4http://id.loc.gov/vocabulary/relators/aut$0823860
702   $aUhlí?ová$b Tereza$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9911002548303321
996   $aAn Algebraic Approach to the Many-Electron Problem$94384733
997   $aUNINA