A Non-Commutative Approach to Ordinary Differential Equations |
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Authors: | F Bagarello |
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Institution: | (1) Dipartimento di Matematica ed Applicazioni, Facoltá di Ingegneria, Universitá di Palermo, Palermo, Italy, I-90128 |
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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.
Pacs Numbers: 02.30.Hq, 03.65.-w, 03.65.Db |
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Keywords: | ordinary differential equations quantum evolution |
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