Published March 7, 2024 | Version v1
Journal article Open

ON THE QUESTION OF THE NECESSITY TO REPEAT THE BASIC PROVISIONS OF THE SPECIAL THEORY OF RELATIVITY WHEN CONDUCTING TRAINING LESSONS IN RELATIVISTIC QUANTUM MECHANICS

Description

The results of experiments carried out to find out the appropriateness of presenting the basics of the special theory of relativity and ways of deriving the Klein-Gordon and Dirac equations are outlined. It is shown that attention should be paid to the basic principles of the theory. In this regard, four-dimensional world vectors, 4-momentum, 4-potential, etc. in Minkowski space-time are used. For the process of derivation of the Klein-Gordon and Dirac equations, it is not recommended to use various simplifications that do not require such important expressions as Dirac matrices or the relation between energy and momentum of a particle. It is suggested that relativistic "Schrödinger-type" equations be used in solving specific problems and in homework assignments. It is shown that the application of the proposed methodology resulted in a noticeable increase in students' academic performance and their interest in the studied educational material.

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References

  • 1. В.В.Киселёв. Квантовая механика. Курс лекций. Издательство МЦНМО. 2009. 560 с.