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 (7 chapters)
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Non-smooth Theory and Higher Dimensions
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Magnetic Schrödinger Operator in Dimension 4
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Eigenvalue Asymptotics for Schrödinger and Dirac Operators with the Strong Magnetic Field
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, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV
Book Subtitle: Magnetic Schrödinger Operator 2
Authors: Victor Ivrii
DOI: https://doi.org/10.1007/978-3-030-30545-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-30544-4Published: 25 September 2019
Softcover ISBN: 978-3-030-30547-5Published: 25 September 2020
eBook ISBN: 978-3-030-30545-1Published: 11 September 2019
Edition Number: 1
Number of Pages: XXIII, 714
Number of Illustrations: 1 b/w illustrations
Topics: Analysis, Mathematical Physics