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:
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References
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.
V. Bach, J. Fröhlich, and I. M. Sigal. Quantum electrodynamics of confined non-relativistic particles. Adv. in Math., 137:299–395, 1998.
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.
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.
V. Bach, J. Fröhlich, and I. M. Sigal. Return to equilibrium. J. Math. Phys., 41(6):3985–4060, June 2000.
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Bach, V. (2006). A Tutorial Approach to the Renormalization Group and the Smooth Feshbach Map. In: Dereziński, J., Siedentop, H. (eds) Large Coulomb Systems. Lecture Notes in Physics, vol 695. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-32579-4_1
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DOI: https://doi.org/10.1007/3-540-32579-4_1
Publisher Name: Springer, Berlin, Heidelberg
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