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Chapitre D'ouvrage Année : 2021

Nonlinear Generalized Schrödinger's Equations by Lifting Hamilton-Jacobi's Formulation of Classical Mechanics.

Résumé

It is well known that, by taking a limit of Schrödinger’s equation, we may recover Hamilton-Jacobi’s equation which governs one of the possible formulations of classical mechanics. Conversely, we may start from the Hamilton-Jacobi’s equation and, by using a lifting principle, we may reach a set of nonlinear generalized Schrödinger’s equations. The classical Schrödinger’s equation then occurs as the simplest equation among the set.

Dates et versions

hal-03377838 , version 1 (14-10-2021)

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Gérard Gouesbet. Nonlinear Generalized Schrödinger's Equations by Lifting Hamilton-Jacobi's Formulation of Classical Mechanics.. Nonlinear Schrödinger's Equations, 2021, ⟨10.5772/intechopen.100068⟩. ⟨hal-03377838⟩
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