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.
BAGARELLO F (2004). A non-commutative approach to ordinary differential equations. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 43, 2371-2394 [10.1007/s10773-004-7705-4].
A non-commutative approach to ordinary differential equations
BAGARELLO, Fabio
2004-01-01
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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2004ODE_IJTP.pdf
Solo gestori archvio
Dimensione
196.63 kB
Formato
Adobe PDF
|
196.63 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
