ℎ-expansion for Regge-trajectories

The ℎ-expansion provides a powerfull new, complimentary to the WKB method, tool for deriving Regge-trajectories and energy eigenvalues for bound states of central potentials in the Schroedinger equation framework. Based upon the logarithmic perturbation theory in Planck's constant, the simple recursion formulas which facilitate the calculation are presented. Numerical calculations for specific potentials widely used in the quarkonium physics illustrate the speed and accuracy of the technique. 23 refs.; 6 tabs