Pseudoclassical theories of majorana, weyl, and majorana-weyl particles
| Autor: | R. P. Grigoryan, G. V. Grigoryan, Igor Viktorovich Tyutin |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
High Energy Physics - Theory
Physics Canonical quantization FOS: Physical sciences Statistical and Nonlinear Physics Mathematics::Spectral Theory Quantization (physics) MAJORANA High Energy Physics - Theory (hep-th) Mathematics::Mathematical Physics Mathematics::Representation Theory Neutral particle Mathematical Physics Mathematical physics |
| Zdroj: | Theoretical and Mathematical Physics. 111:703-713 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | A pseudoclassical theories of Majorana, Weyl and Majorana--Weyl particles in the space--time dimensions $D=2n$ are constructed. The canonical quantization of these theories is carried out and as a result we obtain the quantum mechanical description of neutral particle in $D=2n$ , Weyl particle in $D=2n$ and neutral Weyl particle in $D=4n+2$. In $D=2,4({\rm mod}8)$ dimensional space--time the description of the neutral particle coincides with the field theoretical description of the Majorana particle in the Foldy--Wouthuysen representation. In $D=8k+2$ dimensions the neutral Weyl particle coincides with the Majorana--Weyl particle in the Foldy--Wouthuysen representation. LATEX, 17 pages, no figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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