According to a number of arguments in quantum gravity, both model-dependent and model-
independent, Heisenberg's uncertainty principle is modified when approaching the Planck …

It has been argued that non-Gaussian statistics provide a natural framework to investigate
semiclassical effects in the context of Planck-scale deformations of the Heisenberg …

In many quantum gravity theories, there is the emergence of a generalized uncertainty
principle (GUP), implying a minimal length of the order of the Planck length. From the …

Abstract Recently Chung and Hassanabadi proposed a higher order general uncertainty
principle (GUP∗) that predicts a minimal length as well as possesses a upper bound …

We consider a two-dimensional Dirac oscillator in the presence of a magnetic field in non-
commutative phase space in the framework of relativistic quantum mechanics with minimal …

In recent years, the implications of the generalized (GUP) and extended (EUP) uncertainty
principles on Maxwell–Boltzmann distribution have been widely investigated. However, at …

In this paper, we formulate the statistical mechanics in Snyder space that supports the
existence of a minimal length scale. We obtain the corresponding invariant Liouville volume …

A good hundred years after the necessity for a quantum theory of gravity was acknowledged
by Albert Einstein, the search for it continues to be an ongoing endeavour. Nevertheless, the …

The Kratzer's potential V (r)= g 1/r 2− g 2/r is studied in quantum mechanics with a
generalized uncertainty principle, which includes a minimal length (Δ X) min= ħ 5 β. In …

In this paper, we investigate the effect of minimal length on Einstein model of a gas of two-
level atoms in thermal equilibrium with blackbody radiation at temperature T. We reformulate …