  A proper deformation of the underlying coordinate and momentum commutation
relations in quantum mechanics provides a phenomenological approach to account
for the influence of gravity on small scales. Introducing the squared momentum
term results in a generalized uncertainty principle, which limits the minimum
uncertainty in particle position to the Planck length. However, such a
deformation of the commutator significantly changes the formalism, making it
separate from the canonical formalism of quantum mechanics. In this study, it
is shown that the deformed algebra of position and momentum operators can be
incorporated into the framework of ordinary quantum mechanics.
