Listar Publicaciones Científicas Nanociencias y Materiales por autor "Nowakowski, Marek"
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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 ...