  In this paper we study the effects of the Generalized Uncertainty Principle
(GUP) on the spectrum of a particle that is bouncing vertically and elastically
on a smooth reflecting floor in the Earth's gravitational field (a quantum
bouncer). We calculate energy levels and corresponding wave functions of this
system in terms of the GUP parameter. We compare the outcomes of our study with
the results obtained from elementary quantum mechanics. A potential application
of the present study is discussed finally.
