W. K. B. APPROXIMATION THROUGH THE TURNING POINT,

Approximations to solution of the radial one particle Schroedinger wave equation for hydrogen bound states were investigated and compared to the original Wentzel, Kramers, Brillouin W. K. B. approximation. A modification of the W. K. B. formulas to allow them to pass through turning points and an approximation involving simple harmonic oscillator wave functions were used. Normalization was accomplished by a means similar to the correspondence principle normalization of W. K. B. The accurate solutions may be reproduced to within 5 percent by these approximations. The simple harmonic oscillator functions seem to give the most satisfactory solutions for most cases. Author