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2019•Journal of Physics Conference SeriesOpen access

A free solution to the Dirac equation in R-spacetime

Tosaporn Angsachon, Rujikorn Dhanawittayapol, Karankorn Kritsarunont, S. N. Manida

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Abstract

Abstract In this work, the Dirac equation and its solution for a free fermion in R-spacetime is presented. In the solution obtained, the oscillation frequency increases as t → 0+. The time singularity and the necessity of restricting the time domain in R-spacetime is discussed. Limiting the time domain implies the possibility of quantization of the solution, though this is a subject for further work.

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Abstract In this work, the Dirac equation and its solution for a free fermion in R-spacetime is presented. In the solution obtained, the oscillation frequency increases as t → 0+. The time singularity and the necessity of restricting the time domain in R-spacetime is discussed. Limiting the time domain implies the possibility of quantization of the solution, though this is a subject for further work.

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Available abstract

Abstract In this work, the Dirac equation and its solution for a free fermion in R-spacetime is presented. In the solution obtained, the oscillation frequency increases as t → 0+. The time singularity and the necessity of restricting the time domain in R-spacetime is discussed. Limiting the time domain implies the possibility of quantization of the solution, though this is a subject for further work.

Key concepts: Spacetime, Mathematical physics, Singularity, Dirac equation, Limiting, Physics, Quantization (signal processing), Time domain

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