Historical pseudo simplified solution of the Dirac-Coulomb equation

One of the simplified solutions of the Dirac equations with the pure Coulomb potential given in a paper published in 1985 is pseudo. The original paper solved the Dirac equations by introducing a transformation of functions with two strange parameters a and b to transform the original system of the first-order differential equations into two uncoupled differential equations of second order. However, not only the given eigenvalues sets violate the uniqueness of solution but also the said second-order equations are not any necessarily mathematical deduction. In order to determine the introduced parameters, formally, the author actually introduced some self-contradictory mathematical formulas, such as sinh� = 2ab, cosh� = a 2 + b 2 , tanh� = −Z�/k, a 2 − b 2 = 1, b = sinh(�/2) and a = cosh(�/2). But one has not known the value of the parameters a and b all the while, whereas the parameters were insensibly deleted in the given second-order Dirac-Coulomb equation last. One cannot recover any result given in the paper by making corresponding correctly mathematical calculations.