The five-dimensional Dirac equation in the theory of algebraic spinors
| Autor: | V. V. Monakhov |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
010308 nuclear & particles physics General Physics and Astronomy Dirac algebra Clifford analysis Dirac operator 01 natural sciences symbols.namesake Dirac spinor Quantum mechanics Dirac equation 0103 physical sciences symbols Two-body Dirac equations 010307 mathematical physics Dirac sea Causal fermion system Mathematical physics |
| Zdroj: | Bulletin of the Russian Academy of Sciences: Physics. 81:1219-1224 |
| ISSN: | 1934-9432 1062-8738 |
| DOI: | 10.3103/s1062873817100197 |
| Popis: | The Dirac equation is considered in five-dimensional spaces with signatures (2,3), (4,1) and (0,5). The algebraic spinor formalism with the application of fermionic variables is used as the basis of real Clifford algebras and the module over this algebra. It is shown that solutions to the five-dimensional Dirac equation in spaces with signatures (2,3) and (4,1) can be expanded over solutions with zero value of the fifth component of the generalized momentum, and the equation is equivalent to an equation in four-dimensional spacetime. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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