Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

Authors: Ivrii, Victor

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  • Research monograph for researchers and graduate students in Mathematics and Mathematical PhysicsMost comprehensive work about the topicUse of technique, developed by the author during more than 40 years

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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.



About the authors

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).

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-030-30545-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-30544-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV
Book Subtitle
Magnetic Schrödinger Operator 2
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-30545-1
DOI
10.1007/978-3-030-30545-1
Hardcover ISBN
978-3-030-30544-4
Edition Number
1
Number of Pages
XXIII, 714
Number of Illustrations
1 b/w illustrations
Topics