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RESEARCH PRODUCT
A Noncommutative Approach to Ordinary Differential Equations
Fabio Bagarellosubject
Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsIntegrating factorExamples of differential equationsStochastic partial differential equationMethod of quantum characteristicsQuantum evolutionQuantum statistical mechanicsC0-semigroupDifferential algebraic equationSettore MAT/07 - Fisica MatematicaOrdinary differential equationSeparable partial differential equationMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-08-01 | International Journal of Theoretical Physics |