In this paper, we review some highlights from the String theory, the black hole physics and
the doubly special relativity and some thought experiments which were suggested to probe …

Based on string theory, black hole physics, doubly special relativity and some'thought'
experiments, minimal distance and/or maximum momentum are proposed. As alternatives to …

In the context of some deformed canonical commutation relations leading to isotropic
nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved …

The dynamics of a particle in a gravitational quantum well is studied in the context of
nonrelativistic quantum mechanics with a particular deformation of a two-dimensional …

For composite systems made of N different particles living in a space characterized by the
same deformed Heisenberg algebra, but with different deformation parameters, we define …

The D-dimensional (β, β')-two-parameter deformed algebra introduced by Kempf is
generalized to a Lorentz-covariant algebra describing a (D+ 1)-dimensional quantized …

We considered the thermodynamics in spaces with deformed commutation relations leading
to the existence of minimal length. We developed a classical method of the partition function …

Studies in string theory and quantum gravity lead to the generalized uncertainty principle
(GUP) and suggest the existence of a fundamental minimal length which, as was …

The spectrum and eigenfunctions in the momentum representation for a 1D Coulomb-like
potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is …

Three dimensional Dirac oscillator was considered in space with deformed commutation
relations known as Snyder-de Sitter algebra. Snyder-de Sitter commutation relations give …