  For any orthogonal polynomials system on real line we construct an
appropriate oscillator algebra such that the polynomials make up the
eigenfunctions system of the oscillator hamiltonian. The general scheme is
divided into two types: a symmetric scheme and a non-symmetric scheme. The
general approach is illustrated by the examples of the classical orthogonal
polynomials: Hermite, Jacobi and Laguerre polynomials. For these polynomials we
obtain the explicit form of the hamiltonians, the energy levels and the
explicit form of the impulse operators.
