One-dimension quantum systems in the framework of the most general deformation GUP form
arXiv:1702.03498
Abstract
This paper provides a concise overview of the comprehensive version of the Generalized Uncertainty Principle (GUP) derived from nonlocal quantum mechanics and extensively addressed by S. Masood, et al. We utilize the specific constraint of this GUP formulation to compute the energy correction and the modified wave function for the linear potential in one dimension. In addition, we examine the impact of deformation on a one-dimensional delta potential well and a one-dimensional delta potential barrier. Furthermore, we specifically focus on the impact of deformation on hydrogen atoms existing in one dimension, and we conduct a distinct investigation into the Stark effect on the atom.
References in corpus (21)
- Planck 2013 results. XVI. Cosmological parameters
- The Generalized Uncertainty Principle and Black Hole Remnants
- Towards singularity and ghost free theories of gravity
- Universality of Quantum Gravity Corrections
- Discreteness of Space from the Generalized Uncertainty Principle
- A proposal for testing Quantum Gravity in the lab
- Minimal Length Uncertainty Relation and Ultraviolet Regularisation
- Discreteness of Space from GUP II: Relativistic Wave Equations
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum
- A Higher Order GUP with Minimal Length Uncertainty and Maximal Momentum II: Applications
- Black hole thermodynamics with generalized uncertainty principle
- New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
- Generalised Uncertainty Principle, Remnant Mass and Singularity Problem in Black Hole Thermodynamics
- Quantum Gravity and Recovery of Information in Black Hole Evaporation
- Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
- Thermodynamics of a black hole based on a generalized uncertainty principle
- The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
- On the Existence of the Logarithmic Correction Term in Black Hole Entropy-Area Relation
- Interpretation of the Cosmological Constant Problem within the Framework of Generalized Uncertainty Principle
- Solution of the Schrödinger equation containing a Perey-Buck nonlocality
- Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle