Composite system in rotationally invariant noncommutative phase space

Abstract

Composite system is studied in noncommutative phase space with preserved rotational symmetry. We find conditions on the parameters of noncommutativity on which commutation relations for coordinates and momenta of the center-of-mass of composite system reproduce noncommutative algebra for coordinates and momenta of individual particles. Also, on the conditions the coordinates and the momenta of the center-of-mass satisfy noncommutative algebra with effective parameters of noncommutativity which depend on the total mass of the system and do not depend on its composition. Besides, it is shown that on these conditions the coordinates in noncommutative space do not depend on mass and can be considered as kinematic variables, the momenta are proportional to mass as it has to be. A two-particle system with Coulomb interaction is studied and the corrections to the energy levels of the system are found in rotationally invariant noncommutative phase space. On the basis of this result the effect of noncommutativity on the spectrum of exotic atoms is analyzed.

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Cited by in corpus (12)

• Parameters of noncommutativity in Lie-algebraic noncommutative space
• 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
• Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
• System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
• Features of free particles system motion in 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
• Features of description of composite system's motion in twist-deformed space-time