Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson (English) Pap

Description: Mathematical Concepts of Quantum Mechanics by Stephen J. Gustafson, Israel Michael Sigal 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, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, 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. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover 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, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, 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. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory. Author Biography Stephen J. Gustafson is Professor of Mathematics at the University of British Columbia. His research centres on various partial differential equations arising in physics.Israel Michael Sigal is the Norman Stuart Robertson chair in Applied Mathematics at the University of Toronto. He works in several areas of mathematical physics and applied mathematics. Table of Contents 1 Physical Background.- 2 Dynamics.- 3 Observables.- 4 Quantization.- 5 Uncertainty Principle and Stability of Atoms and Molecules.- 6 Spectrum and Dynamics.- 7 Special Cases.- 8 Bound States and Variational Principle.- 9 Scattering States.- Existence of Atoms and Molecules.- 11 Perturbation Theory: Feshbach-Schur Method.- 12 Born-Oppenheimer Approximation and Adiabatic Dynamics.- 13 General Theory of Many-particle Systems.- 14 Self-consistent Approximations.- 15 The Feynman Path Integral.- 16 Semi-classical Analysis.- 17 Resonances.- 18 Quantum Statistics.- 19 Open Quantum Systems.- 20 The Second Quantization.- 21 Quantum Electro-Magnetic Field – Photons.- 22 Standard Model of Non-relativistic Matter and Radiation.- 23 Theory of Radiation.- 24 Renormalization Group.- 25 Mathematical Supplement: Spectral Analysis.- 26 Mathematical Supplement: The Calculus of Variations.- 27 Comments on Literature, and Further Reading.- References.- Index. Feature A very readable introduction to modern mathematical topics in quantum mechanics Solves the problem of how to teach quantum mechanics to mathematically oriented students in an optimal way Shows how the mathematical treatment of quantum mechanics brings insights to physics Useful guide to the literature Details ISBN3030595617 Author Israel Michael Sigal Series Universitext Language English Year 2020 Edition 3rd ISBN-10 3030595617 ISBN-13 9783030595616 Format Paperback DOI 10.1007/978-3-030-59562-3 DEWEY 530.12 Pages 456 Publication Date 2020-10-22 Publisher Springer Nature Switzerland AG Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland UK Release Date 2020-10-22 Illustrations 33 Illustrations, black and white; XIV, 456 p. 33 illus. Edition Description 3rd ed. 2020 Replaces 9783642218651 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:134122679;

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