Schrödinger Operators
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
1009218468
ISBN-13
9781009218467
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Nov 17th, 2022
Print length
522 Pages
Weight
860 grams
Dimensions
15.90 x 23.60 x 4.10 cms
Product Classification:
Calculus & mathematical analysisCalculus and mathematical analysis
Ksh 13,000.00
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Eigenvalues of Laplace and Schrödinger operators play a fundamental role in many applications in mathematics and physics. This graduate-level book is devoted to their qualitative and quantitative mathematical analysis. It assumes no prior knowledge in this area and leads up to cutting-edge research on sharp constants in Lieb–Thirring inequalities.
The analysis of eigenvalues of Laplace and Schrödinger operators is an important and classical topic in mathematical physics with many applications. This book presents a thorough introduction to the area, suitable for masters and graduate students, and includes an ample amount of background material on the spectral theory of linear operators in Hilbert spaces and on Sobolev space theory. Of particular interest is a family of inequalities by Lieb and Thirring on eigenvalues of Schrödinger operators, which they used in their proof of stability of matter. The final part of this book is devoted to the active research on sharp constants in these inequalities and contains state-of-the-art results, serving as a reference for experts and as a starting point for further research.
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