Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

  • Victor Ivrii

Table of contents

  1. Front Matter
    Pages I-XXIV
  2. Application to Multiparticle Quantum Theory

    1. Front Matter
      Pages 1-1
    2. Victor Ivrii
      Pages 2-67
    3. Victor Ivrii
      Pages 68-207
    4. Victor Ivrii
      Pages 208-283
    5. Victor Ivrii
      Pages 284-394
    6. Back Matter
      Pages 395-466
  3. Articles

  4. Back Matter
    Pages 730-739

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, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.


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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