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In a recent paper published in Nonlinear Analysis: Theory, Methods &Applications, C. Argaez and M. Melgaard studied excited states forpseudo-relativistic multi-configuration methods. Their paper follows a previouswork of mine in the non-relativistic case (Arch. Rat. Mech. Anal., 171, 2004).The main results of the paper of C. Argaez and M. Melgaard are correct, but theproofs are both wrong and incomplete.

Comment on `Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez & M. Melgaard