Hilbert Space Methods in Quantum Mechanics

Werner O. Amrein (Autor)

Buch | Softcover

322 Seiten

2025
Presses Polytechniques et Universitaires Romandes (Verlag)
978-2-940222-35-3 (ISBN)

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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

Erscheinungsdatum	04.10.2023
Verlagsort	Lausanne
Sprache	englisch
Maße	159 x 241 mm
Einbandart	Paperback
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	Physics
ISBN-10	2-940222-35-5 / 2940222355
ISBN-13	978-2-940222-35-3 / 9782940222353
Zustand	Neuware