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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 quantum mechanics, in particular the analysis of Schrödinger operators and quantum scattering theory. The final two chapters are devoted to Mourre's conjugate operator method and some of its consequences for scattering theory. The text gives complete proofs and includes numerous exercises.


  • Hilbert Spaces
  • Linear Operators
  • Symmetric Operators and their Extensions
  • Spectral Theory of Self-Adjoint Operators
  • Evolution Groups and Scattering Theory
  • The Conjugate OperatorMethod
  • Further Topics in Scattering Theory
  • References
  • Notation Index
  • Subject Index


Publisher: EPFL Press English Imprint

Author(s): Werner O. Amrein

Collection: Physics

Published: 19 may 2009

Edition: 1st edition

Media: Book

Pages count Book: 322

Format (in mm) Book: 160 x 240

Weight (in grammes): 850 (Book)

Language(s): English

EAN13 Book: 9782940222353

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