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Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in thebackground of a homogeneous magnetic field are studied on both commutative andoncommutative planes. We show that, on the commutative plane, the averagespeeds of wave packets along the radial direction during the interval in whicha quantum state evolving from an initial state to the orthogonal final one cannot exceed the speed of light, regardless of the intensities of the magneticfield. However, due to the noncommutativity, the average speeds of the wavepackets on noncommutative plane will exceed the speed of light in vacuumprovided the intensity of the magnetic field is strong enough. It is a clearsignature of violating Lorentz invariance in quantum mechanics region.

Quantum speed limit for relativistic spin-0 and spin-1 bosons on commutative and noncommutative planes