title: Exact solutions for a Dirac electron in an exponentially decaying magnetic field.
abstract: We consider a Dirac electron in the presence of an exponentially decaying magnetic field. We obtain exact energy eigenvalues with a zero-energy state and the corresponding eigenfunctions. We also calculate the probability density and current distributions.
authors.affiliation: Department of Physics, Indian Institute of Technology-Kanpur, Kanpur 208 016, India.
authors.forename: Tarun Kanti
authors.initials: TK
authors.lastname: Ghosh