A Variational Formulation for the Relativistic Klein-Gordon Equation

Authors

DOI:

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

Keywords:

Quantum mechanics, Wave function, Normal field

Abstract

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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Author Biography

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

Professor Adjunto A da Universidade Federal de Santa Catarina

References

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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Published

2018-03-27

How to Cite

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

Issue

Section

Physics