Abstract

ESCOBAR, A.. Electrostatic models of charged hydrogenic chains in a strong magnetic field. Rev. mex. fis. [online]. 2011, vol.57, n.3, pp.193-203. ISSN 0035-001X.

Simple one-dimensional electrostatic models of one-(two) electron molecular systems and H₂, in a strong magnetic field are proposed to estimate the binding-(ionization) energy of the corresponding ground states. The study is carried out in the range of mag netic fieds B = 10² - 10⁶ a.u. The models are inspired (and based) on the quasi one-dimensional form of the ground state electronic distribution function which is obtained by precise variational calculations in the Born-Oppenheimer approximation in a non-relativistic framework. It is shown that the models give, for all magnetic fields considered, a very good description of the binding-(ionization) energy of the one-electron molecular systems , being accurate in 2.5%, 5% and 5% respectively, and 15% for the two-electron systems (30% for H₂) as compared with the corresponding variational calculations.

Keywords : Hydrogenic chains; strong magnetic field; electrostatic models.

        · abstract in Spanish     · text in English     · English ( pdf )