Eur. Phys. J. D (2012) 66: 111
https://doi.org/10.1140/epjd/e2012-20711-7

Regular Article

Norm-conserving condition for a non-central potential: the hydrogen molecule ion

¹ Department of Chemistry, New York University, New York, 10003 New York, USA
² Nano-bio Spectroscopy Group, Centro Joxe Mari Korta, Avenida de Tolosa 72, University of the Basque Country (UPV/EHU), 20018 Donostia-San Sebastián, Spain

^a e-mail: ap1484@nyu.edu

Received: 7 December 2011
Received in final form: 24 February 2012
Published online: 30 April 2012

Abstract

A generalization of the norm-conserving condition for the simplest non-central potential, the hydrogen molecule ion, is presented. This new condition may have applications in the design of any molecular pseudopotential describing the scattering of an electron by two protons, which may be of some interest in astrophysics.