Regge-trajectories for the N-dimensional Schroedinger equation

A new effective method is suggested to derive the Regge trajectories for bound states within the N-dimensional Schroedinger equation framework. It is shown that transition from certain spatial dimensionally to another one involves merely a shift of the Regge trajectory. Application of this property helps to investigate the change in the Schroedinger equation solution when changing the space dimensionality. In particular, it explains the transition from two-dimensional one