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Arai, A. (2000) Essential Spectrum of a Self-Adjoint Opeator on a Abstract Hilbert of Fock Type and Applications to Quantum Field Halmitonians. Journal of Mathematical Analysis and Applications, 246, 189-216.
https://doi.org/10.1006/jmaa.2000.6782

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.