Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV: Magnetic Schrödinger Operator 2

Ivrii, Victor

ISBN 10: 3030305473 / ISBN 13: 9783030305475

Published by Springer, 2020

About this Item

Seller Inventory # ABLIING23Mar3113020012988

Bibliographic Details

• Title: Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV: Magnetic Schrödinger Operator 2
• Publisher: Springer
• Publication Date: 2020
• Language: English
• ISBN 10: 3030305473
• ISBN 13: 9783030305475
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.

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).