The ground state energy of a spinor field in the background of a finite radius flux tube

@inproceedings{Bordag1998TheGS,
title={The ground state energy of a spinor field in the background of a finite radius flux tube},
author={Michael Bordag and Klaus Kirsten},
year={1998}
}

We develop a formalism for the calculation of the ground state energy of a spinor field in the background of a cylindrically symmetric magnetic field. The energy is expressed in terms of the Jost function of the associated scattering problem. Uniform asymptotic expansions needed are obtained from the Lippmann-Schwinger equation. The general results derived are applied to the background of a finite radius flux tube with a homogeneous magnetic field inside and the ground state energy is… CONTINUE READING