Microlocal Analysis, Sharp Spectral Asymptotics and Applications I - Victor Ivrii

Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

(Autor)

Buch | Hardcover
XLIX, 889 Seiten
2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-30556-7 (ISBN)
181,89 inkl. MwSt

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 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, with Israel M. Sigal he justified the Scott correction term for heavy atoms and molecules in 1992. He was invited speaker at International Congresses of Mathematicians 1978 (Helsinki) and 1986 (Berkeley). He is a Fellow of the Royal Society of Canada (from 1998) and of American Mathematical Society (from 2012).

Introduction.- Semiclassical micrological analysis.- Local and microlocal semiclassical spectral asymptotics.

Erscheinungsdatum
Zusatzinfo XLIX, 889 p. 1 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 1568 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie
Schlagworte Ground State Energy • microlocal analysis • Propagation of singularities • Schrodinger Operator • Sharp Spectral Asymptotics
ISBN-10 3-030-30556-2 / 3030305562
ISBN-13 978-3-030-30556-7 / 9783030305567
Zustand Neuware
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