Robert A. Van Gorder, University of Central Florida


The Hydrogenic Atom and a Periodic Table of the Elements in Four Spatial Dimensions


Abstract: We consider the hydrogenic atom in four spatial dimensions. In particular, we discuss the wave function and energy spectrum for the hydrogenic atom in the case that the underlying space is of the form R⁴ and in the case that the under- lying space is of the form R³xS¹. We then focus on the underlying space R⁴, for sake of example, and outline the construction of a possible periodic table for those atomic elements in R⁴.

Advisor: Prof. C. Efthimiou (UCF)

References:

R. A. Van Gorder and C. J. Efthimiou, The Hydrogenic Atom and a Periodic Table of the Elements in Four Spatial Dimensions, to be submitted to the Journal of Mathematical Physics (2008)