2004/09/22 by Noureddine Chair, Mohammad A. Dalabeeh, M A Dalabeeh
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Diagonal #Electric field #Geometry #Ground state #Group (periodic table) #Hydrogen atom #Mathematical physics #Mathematics #Molecule #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Physics #Polarizability #Quadratic equation #Quantum electrodynamics #Quantum mechanics #Stark effect #hep-th
paper · pdf · doi:10.1088/0305-4470/38/7/010
published as J.Phys. A38 (2005) 1553-1558 · 7 pages, no figures
arxiv created 2004/09/22 · openalex publication_date 2005/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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. As a result of noncommutative effects the total polarizability of the ground state is no longer diagonal.