Relativistic Generalized Uncertainty Principle
General Relativity and Quantum Cosmology
2021-06-11 v1 High Energy Physics - Theory
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, Schr\"odinger and Dirac equations, and compute quantum gravity corrections to the relativistic hydrogen atom, particle in a box, and the linear harmonic oscillator.
Cite
@article{arxiv.1810.11761,
title = {Relativistic Generalized Uncertainty Principle},
author = {Vasil Todorinov and Pasquale Bosso and Saurya Das},
journal= {arXiv preprint arXiv:1810.11761},
year = {2021}
}
Comments
6 pages, Revtex