Stark Effect of the Lymann Alpha Line by a Rotating Electric Field

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Wave functions of a hydrogen atom perturbed by an electric field are calculated under the assumption of a first-order Stark effect. It is assumed that the strength of the perturbation field is constant and its direction rotates around a fixed axis with a constant angular velocity. The ground state of the atom is not affected by the perturbation field. The energy level of the first excited state of the perturbed atom splits into nine sub-levels. The Lymann alpha line emitted from the perturbed atom consists of seven components. In the case where the angular velocity of the field rotation is small, the structure of the line is similar to that of the line emitted from an atom perturbed by a static field. In the case where, the angular velocity is large, it is similar to that of the line emitted from an unperturbed atom.

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