Hydrogenic system in an off-centre confining oscillator potential

Abstract

The hydrogenic system, confined in an off-centre oscillator potential, is separable in terms of elliptic coordinates. Its general properties are analysed and energies are obtained for some states, for some values of displacement and potential strength. A model wave function is developed and used to obtain the energies and polarizabilities for the ground state. PACS Nos.: 03.65.Ge, 73.21.La, 78.67.Hc