Stephen J. Gustafson, S. J. Gustafson, I. M. Sigal

Mathematical Concepts of Quantum Mechanics

• Broschiertes Buch

Produktbeschreibung

The book gives a streamlined introduction to quantum mechanics and describes the basic mathematical structures underpinning it. From the reviews: "This book is an introduction to the mathematics of quantum mechanics....The strength of the book is where it shows how the mathematical treatment of quantum mechanics brings insights to physics....It will be useful to the experienced reader as a guide to the impressive recent advances in mathematical quantum mechanics." --SIAM REVIEW

Produktdetails

• Universitext
• Verlag: Springer Berlin Heidelberg / Springer, Berlin
• 2nd printing
• Seitenzahl: 304
• Englisch
• Abmessung: 235mm x 155mm x 16mm
• Gewicht: 466g
• ISBN-13: 9783540441601
• ISBN-10: 3540441603
• Artikelnr.: 11457830

Autorenporträt

Stephen J. Gustafson, University of British Columbia, Vancouver, Canada / Israel Michael Sigal, University of Toronto, ON, Canada

Inhaltsangabe

Physical background.- Mathematical detour: operator theory.- Dynamics.- Mathematical detour: the Fourier transform.- Observables.- The uncertainty principle.- Spectral theory.- Scattering states.-Special cases.- Many-particle systems.- Density matrices.- The Feynman path integral.-Mathematical detour: the calculus of variations.- Mathematical detours: the stationary phase method and operator determinants.- Quasi-classical analysis.-Resonances.- Introduction to quantum field theory.- Quantum electrodynamics of non-relativistic particles: the theory of radiation.- Supplement: renormalization group.- Comments on missing topics, literature, and further reading.