Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities

Released on by Rupert L. Frank
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  • Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities Book Detail

  • Author : Rupert L. Frank
  • Release Date : 2022-11-17
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 524
  • ISBN 13 : 1009218441
  • File Size : 87,87 MB
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Schrödinger Operators: Eigenvalues and Lieb–Thirring Inequalities by Rupert L. Frank PDF Summary

Book Description: 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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Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the mos