Overview
- Research monograph for researchers and graduate students in Mathematics and Mathematical Physics
- Most comprehensive work about the topic
- Use of technique, developed by the author during more than 40 years
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Table of contents (5 chapters)
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Front Matter
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Smooth Theory in Dimensions 2 and 3
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Front Matter
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Smooth Theory in Dimensions 2 and 3 (Continued)
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Front Matter
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Back Matter
Keywords
About this book
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory.
In this volume the methods developed in Volumes I and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.
Authors and Affiliations
About the author
VICTOR IVRII is a professor of mathematics at the University of Toronto. His areas of specialization are analysis, microlocal analysis, spectral theory, partial differential equations and applications to mathematical physics. He proved the Weyl conjecture in 1979, and together with Israel M. Sigal he justified the Scott correction term for heavy atoms and molecules in 1992. He is a Fellow of the Royal Society of Canada (since 1998) and of American Mathematical Society (since 2012).
Bibliographic Information
Book Title: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III
Book Subtitle: Magnetic Schrödinger Operator 1
Authors: Victor Ivrii
DOI: https://doi.org/10.1007/978-3-030-30537-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-30536-9Published: 25 September 2019
Softcover ISBN: 978-3-030-30539-0Published: 25 September 2020
eBook ISBN: 978-3-030-30537-6Published: 12 September 2019
Edition Number: 1
Number of Pages: XXI, 729
Number of Illustrations: 1 b/w illustrations
Topics: Analysis, Mathematical Physics