Hydrogen atom in rotationally invariant noncommutative space

Abstract

We consider the noncommutative algebra which is rotationally invariant. The hydrogen atom is studied in a rotationally invariant noncommutative space. We find the corrections to the energy levels of the hydrogen atom up to the second order in the parameter of noncommutativity. The upper bound of the parameter of noncommutativity is estimated on the basis of the experimental results for 1s-2s transition frequency.

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Cited by in corpus (22)

• Composite system in rotationally invariant noncommutative phase space
• Generalized uncertainty principle or curved momentum space?
• Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Seiberg-Witten map and quantum phase effects for neutral Dirac particle on noncommutatiave plane
• Upper bound on the momentum scale in noncommutative phase space of canonical type
• Kinematic variables in noncommutative phase space and parameters of noncommutativity
• Bounds on quantum gravity parameter from the $SU(2)$ NJL effective model of QCD
• Noncommutative phase space with rotational symmetry and hydrogen atom
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• Perturbation of the ns energy levels of the hydrogen atom in rotationally invariant noncommutative space
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Two-particle system in noncommutative space with preserved rotational symmetry
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
• Time reversal and rotational symmetries in noncommutative phase space
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
• Quasinormal modes of noncommutative geometry-inspired dirty black holes
• Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
• The Henon-Heiles system defined on Lie-algebraically deformed Galilei space-time
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry
• Exact Noncommutative Two-Dimensional Hydrogen Atom
• Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism