Article citationsMore>>

Bhattacharya, K. (2007) Solution of the Dirac Equation in Presence of an Uniform Magnetic Field. ArXiv 0705.4275

has been cited by the following article:

• TITLE: Weak Interactions in a Background of a Uniform Magnetic Field. A Mathematical Model for the Inverse β Decay. I.

  AUTHORS: Jean-Claude Guillot

  KEYWORDS: Beta Decay, Uniform Magnetic Field, Weak Interactions, Spectral Theory

  JOURNAL NAME: Open Access Library Journal, Vol.4 No.12, December 19, 2017

  ABSTRACT: In this paper we consider a mathematical model for the inverse β decay in a uniform magnetic field. 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 study the essential spectrum and determine the spectrum. The coupling constant is supposed sufficiently small.