Kinematic variables in noncommutative phase space and parameters of noncommutativity

Abstract

We consider a space with noncommutativity of coordinates and noncommutativity of momenta. It is shown that coordinates in noncommutative phase space depend on mass therefore they can not be considered as kinematic variables. Also, noncommutative momenta are not proportional to a mass as it has to be. We find conditions on the parameters of noncommutativity on which these problems are solved. It is important that on the same conditions the weak equivalence principle is not violated, the properties of kinetic energy are recovered, and the motion of the center-of-mass of composite system and relative motion are independent in noncommutative phase space.

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Cited by in corpus (11)

• Composite system in rotationally invariant noncommutative phase space
• 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
• Noncommutative phase space with rotational symmetry and hydrogen atom
• 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
• Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
• Time reversal and rotational symmetries in noncommutative phase space
• Features of description of composite system's motion in twist-deformed space-time
• Harmonic oscillator chain in noncommutative phase space with rotational symmetry