%0 Journal Article
%T Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse <i>¦Â</i> Decay. <i>I</i>.
%A Jean-Claude Guillot
%J Open Access Library Journal
%V 4
%N 12
%P 1-35
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1104142
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">In this paper we
consider a mathematical model for the inverse </span><i style="line-height:1.5;">¦Â</i><span style="line-height:1.5;"> decay
in a uniform magnetic field. With this model we associate a Hamiltonian with
cutoffs in an appropriate Fock space. No infrared regularization is assu</span><span style="line-height:1.5;">med.
The Hamiltonian is self-adjoint and has a unique ground state. We study the
essential spectrum and determine the spectrum. The coupling constant is
supposed sufficiently small.</span>
</div>
%K Beta Decay
%K Uniform Magnetic Field
%K Weak Interactions
%K Spectral Theory
%U http://www.oalib.com/paper/5291467