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.
|Numero di pagine||24|
|Rivista||International Journal of Theoretical Physics|
|Stato di pubblicazione||Published - 2004|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)