Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV

Magnetic Schrödinger Operator 2

  • Victor Ivrii

Table of contents

  1. Front Matter
    Pages I-XXIII
  2. Non-smooth Theory and Higher Dimensions

  3. Magnetic Schrödinger Operator in Dimension 4

  4. Eigenvalue Asymptotics for Schrödinger and Dirac Operators with the Strong Magnetic Field

    1. Front Matter
      Pages 497-497
    2. Victor Ivrii
      Pages 498-568
    3. Victor Ivrii
      Pages 569-631
  5. Back Matter
    Pages 632-714

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.


Microlocal Analysis Propagation of Singularities Sharp Spectral Asymptotics Schrodinger Operator Ground State Energy

Authors and affiliations

  • Victor Ivrii
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

Bibliographic information

Industry Sectors
Finance, Business & Banking
IT & Software