Influence of a generalized uncertainty principle on the energy spectrum of (1+1)-dimensional Dirac equation with linear potential

We study the influence of a generalized uncertainty principle (GUP) on the energy spectrum of (1 + 1)-dimensional Dirac equation with a linear scalar-like confining potential. We find the dominant contribution to the relativistic energy levels in linear potential field from the deformation of the Dirac equation through the generalized Heisenberg algebra of a GUP. Obviously, our study ends with an approximation, but it sheds much light on a very interesting theoretical physics problem that is not only of theoretical value, but also of natural value.