A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context

Fabio Silva Botelho


This article develops a variational formulation for  relativistic quantum mechanics. The main results are obtained through a connection between relativistic and quantum mechanics. Such a connection is established through basic concepts on Riemannian geometry and related extensions for the relativistic context.


Quantum mechanics; Riemannian geometry; Klein-Gordon equation

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DOI: https://doi.org/10.5902/2179460X34165

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