Quantum speed limit for a relativistic electron in the noncommutative phase space

Abstract

The influence of the noncommutativity on the average speed of a relativistic electron interacting with a uniform magnetic field within the minimum evolution time is investigated. We find that it is possible for the wave packet of the electron to travel faster than the speed of light in vacuum because of the noncommutativity. It suggests that due to the noncommutativity, Lorentz invariance is violated in the relativistic quantum mechanics region.

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Cited by in corpus (5)

• Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in General Relativity
• Massless polarized particle and Faraday rotation of light in the Schwarzschild spacetime
• Probing Noncommutativities of Phase Space by Using Persistent Charged Current and Its Asymmetry
• Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space
• Influences of the coordinate dependent noncommutative space on charged and spin currents