Significant cases of time-evolution equations, the linear Schroedinger and the Fokker--Planck equation are considered. It is known that equations of this type can be transformed, in some cases, into a highly simplified form. The properties of these equations in their initial and their simplified form are compared, showing in particular that this transformation partially prevents a clear understanding and a full application of the (physically relevant) notion of the so-called step up/down operators. These operators are shown to be recursion operators, related to the Lie point symmetries of the equations, which are also carefully discussed.
|Titolo:||Symmetries and related recursion operators of linear evolution equations|
|Anno del prodotto:||2010|
|Digital Object Identifier (DOI):||10.3390/sym2010098|
|Appare nelle tipologie:||1.1 Articolo in rivista|