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Guillot, J.C. (2015) Spectral Theory of a Mathematical Model in Quantum Field Theory for Any Spin, Spectral Theory and Partial Differential Equations, 13-37, Contemp. Math., 640, Amer. Math. Soc., Providence, RI, 2015.
https://doi.org/10.1090/conm/640/12842

has been cited by the following article:

• TITLE: Spectral Theory for the Weak Decay of Muons in a Uniform Magnetic Field

  AUTHORS: Jean-Claude Guillot

  KEYWORDS: Weak Decay of Muons, Fermi’s Theory, Uniform Magnetic Field, Spectral Theory

  JOURNAL NAME: Open Access Library Journal, Vol.6 No.5, May 23, 2019

  ABSTRACT: In this article we consider a mathematical model for the weak decay of muons in a uniform magnetic field according to the Fermi theory of weak interactions with V-A coupling. With this model we associate a Hamiltonian with cutoffs in an appropriate Fock space. No infrared regularization is assumed. The Hamiltonian is self-adjoint and has a unique ground state. We specify the essential spectrum and prove the existence of asymptotic fields from which we determine the absolutely continuous spectrum. The coupling constant is supposed sufficiently small.