The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum
arXiv:2102.08490 · doi:10.1142/S0217732321500218
Abstract
In this work, we consider the relativistic Duffin-Kemmer-Petiau equation for spin-one particles with a nonminimal vector interaction in the presence of minimal uncertainty in momentum. By using the position space representation we exactly determine the bound-states spectrum and the corresponding eigenfunctions. We discuss the effects of the deformation and nonminimal vector coupling parameters on the energy spectrum analytically and numerically.
arXiv comment12 pages, 4 figures
References in corpus (23)
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
- The algebraic structure of the generalized uncertainty principle
- Nonpointlike Particles in Harmonic Oscillators
- Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
- Maximal Localisation in the Presence of Minimal Uncertainties in Positions and Momenta
- Generalized Uncertainty Principle, Extra-dimensions and Holography
- (Anti-)de Sitter Black Hole Thermodynamics and the Generalized Uncertainty Principle
- Extended uncertainty principle and the geometry of (anti)-de Sitter space
- QCD at large and short distances (annotated version)
- New Approach to Nonperturbative Quantum Mechanics with Minimal Length Uncertainty
- On the Duffin-Kemmer-Petiau Formulation of the Covariant Hamiltonian Dynamics in Field Theory
- Noninertial effects on the quantum dynamics of scalar bosons
- Quantum dynamics of scalar bosons in a cosmic string background
- On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential
- Bose-Einstein Condensation and Free DKP field
- Minimal Length Effects on Quantum Cosmology and Quantum Black Hole Models
- Investigation of Unruh temperature of Black holes by using of EGUP formalism
- Remarks on the spin-one Duffin-Kemmer-Petiau equation in the presence of nonminimal vector interactions in (3+1) dimensions
- Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
- On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
- Quantum dynamics of relativistic bosons through nonminimal vector square potentials
- Black hole thermodynamics in Snyder phase space