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Mathematical concepts of quantum mechanics
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Résumé
The book gives a streamlined introduction to quantum mechanics, while describing the basic mathematical structures underpinning this discipline. Starting with an overview of the key physical experiments illustrating the origin of the physical foundations, the book proceeds to 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 topics presented include spectral theory, many-body theory, positive temperatures, path integrals and quasiclassical asymptotics, the theory of resonances, an introduction to quantum field theory and the theory of radiation. The book can serve as a text for an intermediate course in quantum mechanics, or a more advanced topics course.
Caractéristiques
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Date de parution01/01/2003
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Editeur
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ISBN3-540-44160-3
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EAN9783540441601
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PrésentationBroché
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Nb. de pages250 pages
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Poids0.4 Kg
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Dimensions15,5 cm × 23,5 cm × 1,4 cm
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À propos des auteurs
Stephen Gustafson is Assistant Professor of Mathematics at the University of British Columbia. His research centers on various partial differential equations arising in physics. His results include the proof of stability/instability of magnetic vortices solving the long-standing Jaffe-Taubes conjecture. 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. Among his results are the proof (jointly with Avy Soffer) of asymptotic completeness of the quantum many-body scattering for short-range potentials and the development of a mathematical framework (jointly with Volker Bach and Jürg Fröhlich) of the theory of emission and absorption of quantum radiation by non-relativistic quantum systems such as atoms and molecules. Professor Sigal was an invited speaker at several International Congresses of Mathematical Physics and at an International Congress of Mathematicians.