Microlocal Analysis, Sharp Spectral Asymptotics & Applications III:
Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics by Victor Ivrii
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About this book :-
Microlocal Analysis, Sharp Spectral Asymptotics & Applications III written by
Victor Ivrii.
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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
(Victor Ivrii)
Book Detail :-
Title: Microlocal Analysis, Sharp Spectral Asymptotics & Applications III
Edition:
Author(s): Victor Ivrii
Publisher: Springer International Publishing
Series:
Year: 2019
Pages: 750
Type: PDF
Language: English
ISBN: 978-3-030-30536-9,978-3-030-30537-6
Country: Canada
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About Author :-
The author Victor Ivrii
is a Soviet, Canadian mathematician who specializes in analysis, microlocal analysis, spectral theory and partial differential equations. He is a professor at the University of Toronto Department of Mathematics. He was an invited speaker at International Congress of Mathematicians, Helsinki—1978 and Berkeley—1986. He graduated from Physical Mathematical School at Novosibirsk State University in 1965, received his University Diploma (equivalent to MSci) in 1970 and PhD in 1973 in Novosibirsk State University. He defended his Doktor nauk thesis in St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences in 1982.
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• Download PDF Microlocal Analysis, Sharp Spectral Asymptotics & Applications IV by Victor Ivrii
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Book Contents :-
Microlocal Analysis, Sharp Spectral Asymptotics & Applications III written by
Victor Ivrii
cover the following topics.
'
Preface
Introduction
Part-VI Smooth theory in dimensions 2 and 3
13. Standard Theory in Dimensions 2 and 3
14. 2D-Schr¨odinger Operator with the Strong Degenerating Magnetic Field
15 2D-Schr¨odinger Operator with the Strong Magnetic Field near Boundary
Part-VII Smooth theory in Dimensions 2 and 3 (Continued)
16. Magnetic Schr¨odinger Operator: Short Loops, Pointwise Spectral Asymptotics and Asymptotics of Dirac Energy
17. Dirac Operator with the Strong Magnetic Field
Bibliography
Presentations
Index
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