Spectral Theory for the Weak Decay of Muons in a Uniform Magnetic Field - Open Access Library Journal

OALibJ > Vol.6 No.5, May 2019

Spectral Theory for the Weak Decay of Muons in a Uniform Magnetic Field ()

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DOI: 10.4236/oalib.1105352 316 Downloads 717 Views

Author(s)

Jean-Claude Guillot

Affiliation(s)

CMAP, Ecole Polytechnique, CNRS, Institut Polytechnique de Paris, 91128 Palaiseau, France.

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.

KEYWORDS

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

Share and Cite:

Guillot, J. (2019) Spectral Theory for the Weak Decay of Muons in a Uniform Magnetic Field. Open Access Library Journal, 6, 1-32. doi: 10.4236/oalib.1105352.

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