Mathematical concepts of quantum mechanics
By: Stephen J. Gustafson, Israel Michael Sigal.
Contributors: Sigal, Israel Michael, 1945-
Series: Universitext
Publisher: Springer
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 249
Subjects: Quantum theory.; Linear operators.; Mathematical physics.
Description: 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.
Notes: Includes bibliographical references (p. [239]-244) and index.