Transfer matrix method as an unified method for determination of bound, antibound, resonance, decay half-life, fusion and elastic scattering cross sections

Transfer matrix method as a simple but strong unified method for determination of bound, antibound, resonance states, decay half-life, fusion and elastic scattering cross sections was investigated. This method gives the coefficients of linear combinations of ingoing and outgoing waves at each point. In any case by imposing the unique boundary conditions the physical quantities were obtained based on the behavior of the coefficient at the end point for eigenvalue problems or precise value of these coefficients for tunneling and scattering. In any case the results of the transfer matrix method were compared with the corresponding prevalent method and a nice coincidence but with very simple formalism were observed.