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 …

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 …

In this review, we discuss the effects of quantum gravity on black hole physics. After a brief
review of the origin of the minimal observable length from various quantum gravity theories …

We study the (2+ 1)-dimensional Dirac equation in a homogeneous magnetic field
(relativistic Landau problem) within a minimal length or generalized uncertainty principle …

We study the problem of the attractive inverse square potential in quantum mechanics with a
generalized uncertainty relation. Using the momentum representation, we show that this …

Composite system is studied in noncommutative phase space with preserved rotational
symmetry. We find conditions on the parameters of noncommutativity on which commutation …

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 …