Microlocal Analysis, Sharp Spectral Asymptotics and Applications III

Magnetic Schrödinger Operator 1

  • Victor Ivrii

Table of contents

  1. Front Matter
    Pages I-XXI
  2. Smooth Theory in Dimensions 2 and 3

  3. Smooth Theory in Dimensions 2 and 3 (Continued)

  4. Back Matter
    Pages 647-729

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 and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.


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