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The Noncommutative Quadratic Stark Effect For The H-Atom

High Energy Physics - Theory 2009-11-10 v1

Abstract

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 θ\theta. As a result of noncommutative effects the total polarizability of the ground state is no longer diagonal.

Keywords

Cite

@article{arxiv.hep-th/0409221,
  title  = {The Noncommutative Quadratic Stark Effect For The H-Atom},
  author = {Noureddine Chair and Mohammad A. Dalabeeh},
  journal= {arXiv preprint arXiv:hep-th/0409221},
  year   = {2009}
}

Comments

7 pages, no figures

R2 v1 2026-07-22T15:25:58.318Z