Coherent States of Systems with Pure Continuous Energy Spectra
arXiv:2009.09921 · doi:10.1063/5.0030759
Abstract
While dealing with a Hamiltonian with continuous spectrum we use a tridiagonal method involving orthogonal polynomials to construct a set of coherent states obeying a Glauber-type condition. We perform a Bayesian decomposition of the weight function of the orthogonality measure to show that the obtained coherent states can be recast in the Gazeau-Klauder approach. The Hamiltonian of the -wave free particle is treated as an example to illustrate the method.