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A Tutorial Approach to the Renormalization Group and the Smooth Feshbach Map

Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 695)

Abstract

A new method of spectral analysis of Hamiltonians deriving from quantum field theoretic models has been defined by the Feshbach Map in [2–5] and, more recently, by the Smooth Feshbach Map in [1]. The main goals of those papers were the following:

Keywords

Renormalization Group Canonical Commutation Relation Atomic Ground State Vacuum Vector Canonical Commutation Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    V. Bach, T. Chen, J. Fröhlich, and I. M. Sigal. Smooth Feshbach map and operator-theoretic renormalization group methods. J. Funct. Anal., 203(1):44–92, 2003.zbMATHMathSciNetCrossRefGoogle Scholar
  2. 2.
    V. Bach, J. Fröhlich, and I. M. Sigal. Quantum electrodynamics of confined non-relativistic particles. Adv. in Math., 137:299–395, 1998.zbMATHCrossRefGoogle Scholar
  3. 3.
    V. Bach, J. Fröhlich, and I. M. Sigal. Renormalization group analysis of spectral problems in quantum field theory. Adv. in Math., 137:205–298, 1998.zbMATHCrossRefGoogle Scholar
  4. 4.
    V. Bach, J. Fröhlich, and I. M. Sigal. Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Commun. Math. Phys., 207(2):249–290, 1999.zbMATHCrossRefADSGoogle Scholar
  5. 5.
    V. Bach, J. Fröhlich, and I. M. Sigal. Return to equilibrium. J. Math. Phys., 41(6):3985–4060, June 2000.CrossRefADSzbMATHGoogle Scholar

Copyright information

© Springer 2006

Authors and Affiliations

  • V. Bach
    • 1
  1. 1.FB Mathematik und InformatikJohannes Gutenberg-UniversitätMainz

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