00000cmm a22000004a 4500 UP-99796217611212403 Buklod 20230215085534.0 m go j cr cn |||aaaaa 111020s2011 xx o u a eng d 9783642218668 (eBook) (iLib)UPD-00215704165 DLC DML eng DMLUC QC 174.17 M35 G87 2011eb Gustafson, Stephen J. 1972- Mathematical concepts of quantum mechanics [electronic resource] Stephen J. Gustafson, Israel Michael Sigal. 2nd ed. Berlin Heidelberg Springer c2011. 1 online resource (xiii, 382 p.) Universitext IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Quantum theory Mathematics. Functional analysis. Quantum theory. Theoretical, Mathematical and Computational Physics. Quantum Physics. Electronic books. Sigal, Israel Michael 1945-. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-3-642-21866-8 FO Monograph UPD DMLR Electronic Resource