Abstract:The solution of the one-dimensional relativistic Klein-Gordon equation in the momentum representation for a particle in the H atom potential is presented. The eigenfunctions and the energy levels of bound states are found. In the non-relativistic limit, the energy of the particle is given by the Balmer formula. The eigenfunctions are finite sums over poles along the imaginary axis in the complex plane.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.