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  1. Proc. Nat. Acad. Sci., October1921, p. 284.
  2. First given in Physikal. Zeitschrift, Vol.  17, p. 491, 1916. Also Atombau and Spektrallinien2nd edition, p. 478. 3rd edition, p. 670 and p. 725; here also some observations on the convergence question are added.
  3. As J. Weinacht has shown in his Dissertation, Munich1921, see Atombau and Spektrallinien, Ed. 3, Appendix 13.

1921 (1)

Proc. Nat. Acad. Sci., October1921, p. 284.

1916 (1)

First given in Physikal. Zeitschrift, Vol.  17, p. 491, 1916. Also Atombau and Spektrallinien2nd edition, p. 478. 3rd edition, p. 670 and p. 725; here also some observations on the convergence question are added.

Weinacht, J.

As J. Weinacht has shown in his Dissertation, Munich1921, see Atombau and Spektrallinien, Ed. 3, Appendix 13.

Physikal. Zeitschrift (1)

First given in Physikal. Zeitschrift, Vol.  17, p. 491, 1916. Also Atombau and Spektrallinien2nd edition, p. 478. 3rd edition, p. 670 and p. 725; here also some observations on the convergence question are added.

Proc. Nat. Acad. Sci. (1)

Proc. Nat. Acad. Sci., October1921, p. 284.

Other (1)

As J. Weinacht has shown in his Dissertation, Munich1921, see Atombau and Spektrallinien, Ed. 3, Appendix 13.

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Equations (5)

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J = f ( q ) d q .
f ( q ) = ϕ ( q ) + α ψ ( q )
f ( q ) = ϕ ( q ) ( 1 + α ψ ( q ) ϕ ( q ) ) ½ = ϕ ( q ) { 1 + α 2 ψ ( q ) ϕ ( q ) - α 2 8 ( ψ ( q ) ϕ ( q ) ) 2 + + ( - ) n 1 · 3 2 n - 3 2 · 4 2 n α n ( ψ ( q ) ϕ ( q ) ) n }
α M < 1.
J ( α ) = J ( o ) + α J ( o ) + α 2 2 ! J ( o ) + - J ( o ) = ϕ ( q ) d q ;             J ( o ) = ½ ψ ( q ) ϕ ( q ) d q ; J ( o ) = - ¼ ψ 2 ( q ) d q ϕ ( q ) ϕ ( q ) ; etc .