On the (2 + 1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty

DOI10.1142/S0218271815500169zbMath1311.81120arXiv1412.1425MaRDI QIDQ5249982

Pouria Pedram, Homa Shababi, M. Amirfakhrian

Publication date: 13 May 2015

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1425

zbMATH Keywords

Dirac equationminimal lengthgeneralized uncertainty principle

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (14)

Galilean and Lorentz transformations in a space with generalized uncertainty principle ⋮ On the Thomas-Fermi model at the Planck scale ⋮ The minimal length and the Shannon entropic uncertainty relation ⋮ Kepler problem in space with deformed Lorentz-covariant Poisson brackets ⋮ The GUP effect on tunneling of massive vector bosons from the 2+1 dimensional black hole ⋮ Generalized uncertainty principle and the asymmetrical spinless Salpeter Coulomb problem ⋮ Relativistic dynamics for a particle carrying a non-Abelian charge in a non-Abelian background electromagnetic field ⋮ Thermal properties of a two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field in the presence of a minimal length ⋮ Exact continuity equation in a space with minimal length ⋮ Some applications of the most general form of the higher-order GUP with minimal length uncertainty and maximal momentum ⋮ GUP modified Hawking radiation in bumblebee gravity ⋮ Thermodynamic properties of ideal Fermi gases in a harmonic potential in ann-dimensional space under the generalized uncertainty principle ⋮ A new type of GUP with commuting coordinates ⋮ Thomas-Fermi theory at the Planck scale: a relativistic approach

Cites Work

• The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
• Generalized uncertainty principle and quantum electrodynamics
• Generalized uncertainty principle from quantum geometry
• Pauli-Hamiltonian in the presence of minimal lengths
• Non-pointlike particles in harmonic oscillators
• Uncertainty relation in quantum mechanics with quantum group symmetry
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• Dirac oscillator with nonzero minimal uncertainty in position
• More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
• The exact solution of the Dirac equation with a static magnetic field under the influence of the generalized uncertainty principle
• Minimal length uncertainty relation and the hydrogen atom
• Casimir effect in the presence of minimal lengths

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