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Hilbert Space Methods in Quantum Mechanics

By Werner O. Amrein

Published July 6th 2009 by EFPL Press – 350 pages

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  • Hardback: 978-1-42-006681-4: $119.95 Add to Cart
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Description

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.

Contents

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. References. Notation Index. Subject Index.

Name: Hilbert Space Methods in Quantum Mechanics (Hardback) – EFPL Press 
Description: By Werner O. Amrein. 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...
Categories: Quantum Mechanics, General Physics