• Newton´s laws of motion in the form of a Riccati equation 

      Nowakowski, Marek; Rosu Barbus, Haret-Codratian (2002)
      "We discuss two applications of a Riccati equation to Newton´s laws of motion. The first one is the motion of a particle under the influence of a power law central potential V(r)=krε. For zero total energy we show that the ...
    • Shape invariance through Crum transformation 

      Organista, José Orlando; Nowakowski, Marek; Rosu Barbus, Haret-Codratian (2006)
      "We show in a rigorous way that Crum´s result regarding the equal eigenvalue spectrum of Sturm-Liouville problems can be obtained iteratively by successive Darboux transformations. Furthermore, it can be shown that all ...