  A set of quasi-exactly solvable quantum mechanical potentials associated with
the Poeschl-Teller potential, the generalized Poeschl-Teller potential, the
Scarf potential, and the harmonic oscillator potential have been studied.
Solutions of the Schroedinger equation for each potential have been determined
and the eigenstates are expressed in terms of the orthogonal polynomials. The
potentials are related to each other by suitable change of variables.
