ENGLISH

Hilbert Space Methods in Quantum Mechanics

By Werner O. Amrein

Book information

Publisher
EFPL Press
Year
2009
ISBN
1420066811, 9781420066814
Language
english
Format
DJVU
Filesize
10 MB (10745770 bytes)
Series
Fundamental Sciences: Physics
Pages
405\405
DPI
600
Time added
2013-07-25 12:34:21

Description

Linear operators in Hilbert space play a fundamental role in the formulation of quantum theory. This book offers a self-contained presentation of the most important tools and methods from Hilbert space theory, with particular focus on the spectral theory of self-adjoint operators. But it also goes further by describing some applications in quantunm mechanics, in particular the analysis of Schrodinger operators and quantunm scattering theory. The final two chap- ters are devoted to Mourre's conjugate operator method and some of its con- sequences for scattering theory. Based on a one-year course offered to advanced undergraduates, the text will be especially useful to students with some background in quantum mechanics, to whom it will provide a fundamental treatment of some of the basic ideas of applied Hilbert space theory; in addition, the book will prove invaluable to lec- turers of basic and advanced quantum mechanics and to mathematical physi- cists in general, including those who work in spectral and scattering theory. The text gives complete proofs and includes numerous exercises.

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