  In this paper we briefly review the most general form of GUP motivated from
nonlocal quantum mechanics discussed in detail by S. Masood, {\em et al}. We
apply the special limit of this GUP form to the one-dimension linear potential
to calculate the energy correction and the modified wave function. We also
discuss the deformation effect on one dimensional delta potential well and one
dimensional delta potential barrier. Moreover, we pay attention to the
deformation effect on one dimensional hydrogen atom and investigate the Stark
effect on the atom separately. Finally, we make a short conclusion.
