Amrein W. Hilb Methods in Quantum Mechanics 2021 torrent

Textbook in PDF format

Linear operators in Hilbert spaces play a fundamental role in the formulation of quantum theory. With complete proofs and numerous exercises, this book offers a self-contained presentation of the most important tools and methods from Hilbert space theory, with a particular focus on the spectral theory of self-adjoint operators. It also goes further by describing several applications in quantum mechanics, including the analysis of Schrödinger operators and quantum scattering theory. In addition, the book discusses Mourre’s conjugate operator method and its consequences for scattering theory. Based on a one-year course for advanced undergraduates, this text provides a fundamental treatment of the basic ideas of applied Hilbert space theory.
Readership: Senior undergraduate students, graduate students, researchers and practitioners in the field of structural analysis, academics who are teaching courses on structural stability and vibration.
Hilbert Spaces
Linear Operators
Symmetric Operators and their Extensions
Spectral Theory of Self-Adjoint Operators
Evolution Groups and Scattering Theory
The Conjugate Operator Method
Further Topics in Scattering Theory