Noncommutative phase space with rotational symmetry and hydrogen atom

Abstract

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type. Influence of noncommutativity on the energy levels of hydrogen atom is studied in rotationally invariant noncommutative phase space. We find corrections to the levels up to the second order in the parameters of noncommutativity and estimate the upper bounds of these parameters.

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Cited by in corpus (9)

• Composite system in rotationally invariant noncommutative phase space
• Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• 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
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry