A Superalgebraic Form of the Dirac Equation
| Autor: | V. V. Monakhov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Condensed Matter::Quantum Gases
010302 applied physics Physics Spinor 010308 nuclear & particles physics General Physics and Astronomy Creation and annihilation operators Gamma matrices Position and momentum space 01 natural sciences Second quantization symbols.namesake Dirac equation 0103 physical sciences symbols Noether's theorem Mathematical physics Variable (mathematics) |
| Zdroj: | Bulletin of the Russian Academy of Sciences: Physics. 83:1173-1178 |
| ISSN: | 1934-9432 1062-8738 |
| Popis: | A spinor theory with automatic second quantization and no need for normalizing operators is constructed, based on a superalgebraic representation of spinors and Dirac matrices. The creation and annihilation operators of spinors are constructed using integrals of Grassmann variable densities in the momentum space and derivatives with respect to them. Formulas for superalgebraic bilinear covariants, and fermionic Lagrangian, and Noether currents are derived. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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