Relativistic generalized uncertainty principle

Journal Article · Sat Jun 15 00:00:00 EDT 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.03.014· OSTI ID:22848506

Todorinov, Vasil ^[1]; Bosso, Pasquale ^[1]; Das, Saurya ^[1]

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1. Theoretical Physics Group and Quantum Alberta, Department of Physics and Astronomy, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4 (Canada)

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.

• OSTI ID: 22848506
• Journal Information: Annals of Physics, Vol. 405; Other Information: © 2019 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
DIRAC EQUATION
HARMONIC OSCILLATORS
HARMONICS
HYDROGEN
KLEIN-GORDON EQUATION
LORENTZ INVARIANCE
OSCILLATORS
QUANTUM GRAVITY
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
UNCERTAINTY PRINCIPLE