The Noncommutative Quadratic Stark Effect For The H-Atom

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

7 pages, no figures

References in corpus (3)

• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Quantum Theories on Noncommutative Spaces with Nontrivial Topology: Aharonov-Bohm and Casimir Effects
• Testing spatial noncommutativiy via the Aharonov-Bohm effect

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• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Upper bound on the momentum scale in noncommutative phase space of canonical type
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Two-particle system in noncommutative space with preserved rotational symmetry