Noncommutative quantum mechanics of a test particle under linearized gravitational waves

Details Noncommutative quantum mechanics of a test particle under linearized gravitational waves Noncommutative quantum mechanics of a test particle under linearized gravitational waves

2009-08-29

arxiv.org/abs/0908.4319v2

Phys.Lett.B681:96-99,2009

Physics

High Energy Physics

High Energy Physics - Theory

Accepted in Physics Letters B, minor changes made, references added

Scientific paper

10.1016/j.physletb.2009.09.063

We consider the quantum dynamics of a test particle in noncommutative space under the influence of linearized gravitational waves in the long wave-length and low-velocity limit. A prescription for quantizing the classical Hamiltonian for the interaction of gravitational wave with matter in noncommutative space is proposed. The Hamiltonian (and hence the system) is then exactly solved by using standard algebraic methods. The solutions show prominent signatures of the noncommutative nature of space. Computation of the expectation value of the particle's position reveals the inherent quantum nature of spacetime noncommutativity.

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