Description
Microlocal Analysis, Sharp Spectral Asymptotics and Applications III, 1st ed. 2019
Magnetic Schrödinger Operator 1
Author: Ivrii Victor
Language: EnglishSubject for Microlocal Analysis, Sharp Spectral Asymptotics and...:
Approximative price 179.34 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Ivrii VictorPublication date: 09-2020
Support: Print on demand
Approximative price 179.34 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Ivrii VictorPublication date: 09-2019
Support: Print on demand
Description
/li>Contents
/li>Biography
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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.
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).
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