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AbstractAbstract
[en] The solution of the Stark effect in hydrogen to arbitrarily high orders of perturbation theory is made feasible by the explicit formula for the Nth-order energy in terms of the separation constants through Nth order, derived here. The Nth-order separation constant β/sup( N/)/sub i/ is shown to be a polynomial of total degree N + 1 in the parabolic quantum number n/sub i/ and the magnetic quantum number m. The polynomial coefficients have been tabulated through seventeenth order and are listed here through tenth order. Similarly, the Nth-order energy is a polynomial in the quantum numbers n1, n2, and m. The polynomial coefficients (which are more numerous than for β/sup( N/)/sub i/) have been tabulated through seventeenth order and are listed here through seventh order. Seventeenth order is high enough to permit a clear numerical demonstration of the asymptotic character of the perturbation series, and a ''maximum useful field strength'' is defined and illustrated. Energies calculated by perturbation theory for specific states are shown to be in excellent agreement with energies calculated nonperturbatively
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Journal Article
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Physical Review. A; v. 18(5); p. 1853-1864
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