Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2012

Higher order Schrödinger equations

Résumé

The purpose of this paper is to provide higher order Schrödinger equations from a finite expansion approach. These equations converge toward the semirelativistic equation for particles whose norm of velocity vector is below c/√2 and are able to take into account some relativistic effectswith a certain accuracy in a sense that we define. So, it is possible to take into account some relativistic effects by using Schrödinger form equations, even if they cannot be considered as relativistic wave equations.

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hal-00776157 , version 1 (12-02-2021)

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Rémi Carles, Emmanuel Moulay. Higher order Schrödinger equations. Journal of Physics A: Mathematical and Theoretical, 2012, 45 (39), pp.395304. ⟨10.1088/1751-8113/45/39/395304⟩. ⟨hal-00776157⟩
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