%0 Journal Article
%T Spectral Theory for the Weak Decay of Muons in a Uniform Magnetic Field
%A Jean-Claude Guillot
%J Open Access Library Journal
%V 6
%N 5
%P 1-32
%@ 2333-9721
%D 2019
%I Open Access Library
%R 10.4236/oalib.1105352
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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 associat</span><span style="line-height:1.5;">e 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.</span>
</div>
%K Weak Decay of Muons
%K Fermi¡¯s Theory
%K Uniform Magnetic Field
%K Spectral Theory
%U http://www.oalib.com/paper/5334254