Jean-Claude Guillot
SPECTRAL THEORY FOR THE WEAK DECAY OF MUONS IN 
A UNIFORM MAGNETIC FIELD
(636K, AMS-TeX)

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.