  Various candidates of quantum gravity such as string theory, loop quantum
gravity and black hole physics all predict the existence of a minimum
observable length which modifies the Heisenberg uncertainty principle to
so-called Generalized Uncertainty Principle (GUP). This approach results in the
modification of the commutation relations and changes all Hamiltonians in
quantum mechanics. In this paper, we present a class of physically acceptable
solutions for a general commutation relation without directly solving the
corresponding generalized Schrodinger equations. These solutions satisfy the
boundary conditions and exhibit the effect of the deformed algebra on the
energy spectrum. We show that, this procedure prevents us from doing equivalent
but lengthy calculations.
