Feynman propagator and Slater sum for a model Hamiltonian motivated by H + 2 in an intense magnetic field

In an early study of the hydrogen molecule ion in a magnetic field of strength B directed along the internuclear axis, we wrote the ground‐state electronic energy E ( R, B ), with R the internuclear separation, in terms of the electron and current densities ρ(r) and j(r), respectively. Very recent work by Benguria et al. has established a one‐dimensional model Hamiltonian that is asymptotically valid in the limit as the magnetic field strength B tends to infinity. We study a model motivated by this Hamiltonian and derive exact analytical results for the Slater sum and for the Feynman propagator. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006