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Integrabilità per separazione delle variabili delle equazioni alle derivate parziali lineari del secondo ordine interessanti la fisica-matematica

Sergio Benenti — 1977

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We state a local characterization of the Riemannian manifolds upon which second order linear partial differential equations of mathematical physics are integrable by separation of the variables. Among the results we have a generalizazion of a classical theorem of Eisenhart on the separability of the Schrödinger equation in orthogonal coordinates.

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