Introduction to Spectral Theory: With Applications to Schrödinger Operators (Applied Mathematical Sciences)

Hislop, P.D.; Sigal, I.M.

ISBN 10: 1461268885 / ISBN 13: 9781461268888

Published by Springer, 2012

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Bibliographic Details

• Title: Introduction to Spectral Theory: With Applications to Schrödinger Operators (Applied Mathematical Sciences)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 1461268885
• ISBN 13: 9781461268888
• Binding: Soft cover
• Condition: New

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Synopsis

The intention of this book is to introduce students to active areas of research in mathematical physics in a rather direct way minimizing the use of abstract mathematics. The main features are geometric methods in spectral analysis, exponential decay of eigenfunctions, semi-classical analysis of bound state problems, and semi-classical analysis of resonance. A new geometric point of view along with new techniques are brought out in this book which have both been discovered within the past decade. This book is designed to be used as a textbook, unlike the competitors which are either too fundamental in their approach or are too abstract in nature to be considered as texts. The authors' text fills a gap in the marketplace.