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arXiv · 1810.11761

Relativistic Generalized Uncertainty Principle

Vasil Todorinov·Pasquale Bosso·Saurya Das
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Abstract

The Generalized Uncertainty Principle and the related minimum length are normally considered in non-relativistic Quantum Mechanics. Extending it to relativistic theories is important for having a Lorentz invariant minimum length and for testing the modified Heisenberg principle at high energies.In this paper, we formulate a relativistic Generalized Uncertainty Principle. We then use this to write the modified Klein-Gordon, Schrödinger and Dirac equations, and compute quantum gravity corrections to the relativistic hydrogen atom, particle in a box, and the linear harmonic oscillator.

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Vasil Todorinov, Pasquale Bosso, Saurya Das. 2018-10-28. Relativistic Generalized Uncertainty Principle. https://doi.org/10.1016/j.aop.2019.03.014

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