The dirac equation as the consequence of the quantum-mechanical spin 1/2 doublet model
Citation
Krivsky, I., Simulik, V., Lamer, I. & Taras, Z. (2013). The dirac equation as the consequence of the quantum-mechanical spin 1/2 doublet model. TWMS Journal Of Applied And Engineering Mathematics, 3(1), 62-74.Abstract
The detailed consideration of the relativistic canonical quantum-mechanical model of an arbitrary →s -multiplet is given. The group-theoretical analysis of the algebra of experimentally observable physical quantities for the s = 1/2 doublet is presented. It is shown that both the Foldy-Wouthuysen equation for the fermionic spin s = 1/2 doublet and the Dirac equation in its local representation are the consequences of the relativistic canonical quantum mechanics of the corresponding doublet. The mathematically welldefined consideration on the level of modern axiomatic approaches to the field theory is provided.
Source
TWMS Journal Of Applied And Engineering MathematicsVolume
3Issue
1URI
https://hdl.handle.net/11729/2487http://jaem.isikun.edu.tr/web/index.php/archive/83-vol3no1/128
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