The Noncommutative Quadratic Stark Effect For The H-Atom

Details The Noncommutative Quadratic Stark Effect For The H-Atom The Noncommutative Quadratic Stark Effect For The H-Atom

2004-09-22

arxiv.org/abs/hep-th/0409221v1

J.Phys. A38 (2005) 1553-1558

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, no figures

Scientific paper

10.1088/0305-4470/38/7/010

Using both the second order correction of perturbation theory and the exact computation due to Dalgarno-Lewis, we compute the second order noncommutative Stark effect,i.e., shifts in the ground state energy of the hydrogen atom in the noncommutative space in an external electric field. As a side result we also obtain a sum rule for the mean oscillator strength. The energy shift at the lowest order is quadratic in both the electric field and the noncommutative parameter $\theta$. As a result of noncommutative effects the total polarizability of the ground state is no longer diagonal.

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