A non-commutative approach to ordinary differential equations
- Authors: BAGARELLO F
- Publication year: 2004
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/26835
Abstract
We adapt ideas coming from Quantum Mechanics to develop a non-commutative strategy for the analysis of some systems of ordinary differential equations. We show that the solution of such a system can be described by an unbounded, self-adjoint and densely defined operator H which we call, in analogy with Quantum Mechanics, the Hamiltonian of the system. We discuss the role of H in the analysis of the integrals of motion of the system. Finally, we apply this approach to several examples.