Orbits of the hydrogen electron in a uniform electric field

The linear Stark effect is investigated, using the old quantum theory and the equations of motion of the electron in orbital variables. In contrast to the well-known solution in terms of parabolic coordinates, the new form has a simple geometric interpretation, namely, perturbation by the uniform electric field leads in the first approximation to a slow regular precession of the electron orbit around the direction of the field (subject to a single additional condition). This geometric picture outwardly resembles electron orbits precessing around a uniform magnetic field in the normal Zeeman effect.

PACS: 32.60.+i
DOI: 10.1070/PU1993v036n11ABEH002203
URL: https://ufn.ru/en/articles/1993/11/e/
Citation: Kopnin Yu M, Kopnin M Yu "Orbits of the hydrogen electron in a uniform electric field" Phys. Usp. 36 (11) 1075–1078 (1993)

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Оригинал: Копнин Ю М, Копнин М Ю «Об орбитах водородного электрона в однородном электрическом поле» УФН 163 (11) 83–87 (1993); DOI: 10.3367/UFNr.0163.199311e.0083

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