Variational calculations of molecular systems in complex exponential basis

Energies of the ground state of molecular ions of T2+, Dα+, Hα+, Hα+ hydrogen isotopes, as well as molecular ion of Muα+ muonium, containing muons as nuclei, were calculated in the basis of complex exponential functions of interparticle distances with detailed account of particle motion. It was found, that the use of complex exponential functions, drouping in pairs of real exponential-trigonometric functions, improved sufficiently the convergence of variational calculations