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Présentation

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.

Sommaire

  • 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

Informations

Editeur : EPFL Press English Imprint

Auteur(s) : Werner O. Amrein

Collection : Physics

Publication : 19 mai 2009

Edition : 1ère édition

Support(s) : Livre papier

Nombre de pages Livre papier : 322

Format (en mm) Livre papier : 160 x 240

Poids (en grammes) : 850

Langue(s) : Anglais

EAN13 Livre papier : 9782940222353

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