2019/08/13 by Fabio Botelho, Botelho, Fabio
Mathematics · Physics and Astronomy · #81Q05 #FOS: Physical sciences #Numerical methods for differential equations #Numerical methods in inverse problems #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Relativity and Gravitational Theory #Spectral Theory in Mathematical Physics #msc:81Q05 #quant-ph
paper · pdf · doi:10.48550/arxiv.1908.04611
38 pages, some minor mistakes and typos corrected
openalex publication_date 2019/08/13 · arxiv created 2019/10/16 · arxiv updated 2019/10/17 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through an extension of the classical mechanics approach to a more general context, which in some sense, includes the quantum mechanics one. For the second part of the text, the definition of normal field and its relation with the wave function concept play a fundamental role in the main results establishment. Among the applications, we include a model with the presence of electromagnetic fields and also the modeling of a chemical reaction. Finally, in the last section, we present some results about the Spin operator in a relativistic context.