Modeling of electron density in linear configurations of H2+3 and H3+4 stabilized by an intense magnetic field along the chain axis

Recently a model Hamiltonian proposed by Benguria et al. has been utilized to treat the H+2 ion in the extreme high field limit by calculating the corresponding Feynman propagator. Here an extended analysis is presented that can be applied to linear configurations of the molecules H2+3 and H3+4, stabilized by the application of an intense magnetic field along the chain axes. Results for the electron density are presented for the high field regime. Numerical results in the literature confirm the main predictions of the largely analytical model given here. Electronic transitions between the bound states of the model are also briefly considered.