  We present a formulation of quantum mechanics based on orthogonal
polynomials. The wavefunction is expanded over a complete set of square
integrable basis in configuration space where the expansion coefficients are
orthogonal polynomials in the energy. Information about the corresponding
physical systems (both structural and dynamical) are derived from the
properties of these polynomials. We demonstrate that an advantage of this
formulation is that the class of exactly solvable non-relativistic quantum
mechanical problems becomes larger than in the conventional formulation (see,
for example, Table 1 in the text).
