Thermal properties of a two-dimensional Duffin–Kemmer–Petiau oscillator under an external magnetic field in the presence of a minimal length

H Aounallah, BC Lütfüoğlu, J Kříž - Modern Physics Letters A, 2020 - World Scientific
Generalized uncertainty principle puts forward the existence of the shortest distances and/or
maximum momentum at the Planck scale for consideration. In this article, we investigate the …

The spin-one DKP equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum

B Hamil, BC Lütfüoğlu, H Aounallah - Modern Physics Letters A, 2021 - World Scientific
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 …

Pseudoharmonic oscillator in quantum mechanics with a minimal length

D Bouaziz, A Boukhellout - Modern Physics Letters A, 2014 - World Scientific
The pseudoharmonic oscillator potential is studied in non-relativistic quantum mechanics
with a generalized uncertainty principle characterized by the existence of a minimal length …

Klein paradox for the bosonic equation in the presence of minimal length

M Falek, M Merad, M Moumni - Foundations of Physics, 2015 - Springer
We present an exact solution of the one-dimensional modified Klein Gordon and Duffin
Kemmer Petiau (for spins 0 and 1) equations with a step potential in the presence of minimal …

Particle in a Box with Generalized Uncertainty Principle

M Moniruzzaman, L Akter - Asian Journal of Research …, 2023 - archives.articleproms.com
The minimal length is a fundamental length for position measurement, although there is no
lower bound in ordinary quantum mechanics for the position uncertainty since the minimum …

Problems relating to non-homogeneous magnetic field and path integral formalism

H Hadjer - 2022 - dspace.univ-ouargla.dz
In the framework of relativistic and nonrelativistic quantum mechanics with spin 1/2, we have
treated the problem of a particle of mass m and charge e moving in a non-homogeneous …

Electron propagator solution for an inhomogeneous magnetic field in the momentum space representation

H Hamdi, H Benzair - International Journal of Modern Physics A, 2020 - World Scientific
The relativistic quantum mechanics of the electron in an inhomogeneous magnetic field
problem is solved exactly in terms of the momentum space path integral formalism. We …