Effects of Extended Uncertainty Principle on the Relativistic Coulomb Potential
arXiv:2008.03807 · doi:10.1142/S0217751X21500184
Abstract
The relativistic bound-state energy spectrum and the wavefunctions for the Coulomb potential are studied for de Sitter and anti-de Sitter spaces in the context of the extended uncertainty principle. Klein-Gordon and Dirac equations are solved analytically to obtain the results. The electron energies of hydrogen-like atoms are studied numerically.
arXiv comment11 pages, 6 figures
References in corpus (23)
- Large N Field Theories, String Theory and Gravity
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Quantum gravity and minimum length
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- Testable scenario for Relativity with minimum-length
- Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
- The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
- (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
- Natural extension of the Generalised Uncertainty Principle
- On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
- Extended uncertainty principle and the geometry of (anti)-de Sitter space
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Planck scale effects on some low energy quantum phenomena
- Extended Uncertainty Principle Black Holes
- Quantum Black Hole in the Generalized Uncertainty Principle Framework
- Incorporation of Generalized Uncertainty Principle into Lifshitz Field Theories
- Quantum mechanics in de Sitter space
- Deformation of the Wheeler-DeWitt Equation
- Ground State of the Hydrogen Atom via Dirac Equation in a Minimal Length Scenario
- On the uncertainty principle in Rindler and Friedmann spacetimes
- Exact Solution of Schrödinger Equation in (Anti-)de Sitter Spaces for Hydrogen Atom
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- Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms
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- Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope