{"product_id":"algebraic-approach-to-simple-quantum-systems-with-applications-to-perturbation-theory-9783540578017","title":"Algebraic Approach to Simple Quantum Systems: With Applications to Perturbation Theory","description":"\u003cp\u003e • Author(s): Barry G. Adams\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Quantum Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book provides an introduction to the use of algebraic methods and sym- bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45284056957079,"sku":"9783540578017","price":5873.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540578017.webp?v=1769280050","url":"https:\/\/atlanticbooks.com\/products\/algebraic-approach-to-simple-quantum-systems-with-applications-to-perturbation-theory-9783540578017","provider":"Atlantic Books","version":"1.0","type":"link"}