Microlocal Analysis, Sharp Spectral Asymptotics and Applications I

Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics

  • Victor Ivrii

Table of contents

  1. Front Matter
    Pages I-XLIX
  2. Semiclassical Microlocal Analysis

    1. Front Matter
      Pages 1-1
    2. Victor Ivrii
      Pages 2-125
  3. Local and Microlocal Semiclassical Spectral Asymptotics in the Interior of the Domain

  4. Local and Microlocal Semiclassical Spectral Asymptotics Near the Boundary

  5. Back Matter
    Pages 801-889

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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.


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

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