A variational formulation for relativistic mechanics based on Riemannian geometry and its application to the quantum mechanics context
DOI:
https://doi.org/10.5902/2179460X34165Keywords:
Quantum mechanics, Riemannian geometry, Klein-Gordon equationAbstract
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.Downloads
References
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S.Weinberg, Gravitation and Cosmology, Principles and Applications of the General Theory of Relativity, Wiley and Sons, (Cambridge, Massachusetts, 1972).
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