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Unified derivation of the perturbation series for the real and imaginary parts of the energy of hydrogen in the stark effect and of the negatively anharmonic oscillator

✍ Scribed by Harris J. Silverstone

Book ID
104580565
Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
309 KB
Volume
21
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The wave function for hydrogen in the Stark effect (or for the negatively anharmonic oscillator) with an outgoing‐wave boundary condition, constructed in Langer‐Cherry f__JWKB form, is continued back to the origin. The asymptotic expansions for Re__E and Im__E__ are determined by the requirement that the wave function be regular at the origin to zeroth and first order in the exponentially small parameter that characterizes Im__E__. One __f__JWKB function turns out to be the Rayleigh‐Schrödinger perturbation theory wave function.

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