{"product_id":"9783031878275","title":"Algebraic Approach to the Many-Electron Problem","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Jaroslav Zamastil","offers":[{"title":"Default Title","offer_id":52387756015934,"sku":"9783031878275","price":1931.05,"currency_code":"ZAR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/files\/9783031878275.jpg?v=1761166170","url":"https:\/\/exclusivebooks.co.za\/products\/9783031878275","provider":"Exclusive Books Online","version":"1.0","type":"link"}