Hilbert Space Methods in Quantum Mechanics
Medias
About
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.
Content
- 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
Details
Publisher: EPFL Press English Imprint
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
Language(s): English
EAN13 Book: 9782940222353
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