arXiv subjects
Publications and source records attributed to Khireddine Nouicer.
It is expected that the implementation of minimal length in quantum models leads to a consequent lowering of Planck's scale. In this paper, using the quantum model with minimal length of Kempf et al \cite{kempf0}, we examine the effect of the minimal length on the Casimir force between parallel plates.
In this paper we address the problem of a particle moving in singular one dimensional potentials in the framework of quantum mechanics with minimal length. Using the momentum space representation we solve exactly the Schrodinger equation for the Dirac delta potential and Coulomb potential. The effect of the minimal length is revealed by a computation of effective generalized Dirac delta potential and Coulomb potential.