Key points are not available for this paper at this time.
Bethe's "average excitation potentials" for states 1s through 4p of hydrogen are calculated numerically. These lead to values of the n₀^2S₁₂-n₀^2P₁₂ level shifts in hydrogen for n₀=3 and 4 of S₇ (3) =314. 6900. 047 Mc/sec and S₇ (4) =132. 9980. 020 Mc/sec, which are 1. 44 Mc/sec and 0. 85 Mc/sec larger than previous estimates. For n₀=2, a value of S₇ (2) =1057. 210. 16 Mc/sec is obtained, which is in close agreement with previous calculation. In conjunction with this work, the oscillator strengths f (n₀l₀, nl) are obtained for n₀=1, 2, 3, and 4; n<50; and all values of l₀ and l. A generalization of the Wigner-Kirkwood sum rule is derived.
John Martin Harriman (1956) studied this question.