A non-commutative approach to ordinary differential equations

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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.
Lingua originaleEnglish
pagine (da-a)2371-2394
Numero di pagine24
RivistaInternational Journal of Theoretical Physics
Volume43
Stato di pubblicazionePublished - 2004

All Science Journal Classification (ASJC) codes

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  • Physics and Astronomy (miscellaneous)

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