Coherent states of systems with pure continuous energy spectra

While dealing with a Hamiltonian continuous spectrum we use tridiagonal method involving orthogonal polynomials to construct set of coherent states obeying Glauber-type condition. We perform Bayesian decomposition the weight function orthogonality measure show that obtained can be recast in Gazeau-Klauder approach. The $\ell$-wave free particle is treated as an example illustrate method.