A Variational Formulation for the Relativistic Klein-Gordon Equation

Autores

DOI:

https://doi.org/10.5902/2179460X33536

Palavras-chave:

Quantum mechanics, Wave function, Normal field

Resumo

This article develops a variational formulation for the relativistic Klein-Gordon equation. The main results are obtained through a connection between classical and quantum mechanics. Such a connection is established through the definition of  normal field and its relation with the wave function concept.

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Biografia do Autor

Fabio Silva Botelho, Universidade Federal de Santa Catarina, Florianópolis, SC

Professor Adjunto A da Universidade Federal de Santa Catarina

Referências

R.A. Adams and J.F. Fournier, Sobolev Spaces, 2nd edn. (Elsevier, New York, 2003).

D. Bohm, A Suggested Interpretation of the Quantum Theory in Terms of Hidden Variables I, Phys.Rev. 85, Iss. 2, (1952).

D. Bohm Quantum Theory (Dover Publications INC., New York, 1989).

F. Botelho, Functional Analysis and Applied Optimization in Banach Spaces, (Springer Switzerland, 2014).

F. Botelho, A Classical Description of Variational Quantum Mechanics and Related Models, Nova Science Publishers, New York, 2017.

B. Hall, Quantum Theory for Mathematicians (Springer, New York 2013).

L.D. Landau and E.M. Lifschits, Course of Theoretical Physics, Vol. 5- Statistical Physics, part 1. (Butterworth-Heinemann, Elsevier, reprint 2008).

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Publicado

2018-03-27

Como Citar

Botelho, F. S. (2018). A Variational Formulation for the Relativistic Klein-Gordon Equation. Ciência E Natura, 40, e57. https://doi.org/10.5902/2179460X33536

Edição

Seção

Física