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

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE