LAUSR

Abstract The free complement (FC) theory, proposed for solving the Schrodinger equations of atoms and molecules, was previously extended to solving the relativistic Dirac-Coulomb equations (DCE) [H. Nakatsuji and H. Nakashima, Phys. Rev. Lett. 95, 050,407 (2005).]. In this letter, the inverse Hamiltonian method assisted by the complex scaling technique is further introduced to solve two problems associated with the many-electron DCE, the unbound problem of the Dirac-Coulomb Hamiltonian and the continuum dissolution problem. The proposed accurate FC theory is applied to the calculations of the ground and low-lying excited states of helium isoelectronic atoms: He, Th88+, and Nh111+.