Accession Number:
AD0604303
Title:
W. K. B. APPROXIMATION THROUGH THE TURNING POINT,
Descriptive Note:
Corporate Author:
RAND CORP SANTA MONICA CALIF
Personal Author(s):
Report Date:
1954-02-15
Pagination or Media Count:
11.0
Abstract:
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