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Solutions of the Dirac equation in finite de Sitter space (representations ofSO 4.1)

Решения уравнения Дирака в конечном пространстве де Ситтера (представленияSO 4,1)

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Il Nuovo Cimento B (1971-1996)

Summary

All the solutions of the Dirac equation in the finite space de Sitter universe are found and it is shown that they form a basis for a representation of the group of motions for this universe,SO 4,1. The action of the generators ofSO 4.1 on these solutions is explicitly given as a linear superposition of solutions.

Riassunto

Si trovano tutte le soluzioni delle equazioni di Dirac nell'universo di de Sitter dello spazio finito e si mostra che esse formano la baseSO 4,1 per una rappresentazione del gruppo dei movimenti per questo universo. Su queste soluzioni si dà esplicitamente l'azione dei generatori diSO 4,1 come sovrapposizione lineare delle soluzioni.

Резюме

Определяются все рещения уравнения Дирака в конечном пространстве вселенной де Ситтера. Показывается, что они образуют базис для представления группы движений для этой вселенной,SO 4,1. В явном виде приводится действие генераторовSO 4.1 на эти решения, в виде линейной суперпозиции решений.

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References

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Authors and Affiliations

  1. University of Birmingham, Birmingham

    F. Riordan

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  1. F. Riordan
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Riordan, F. Solutions of the Dirac equation in finite de Sitter space (representations ofSO 4.1). Nuovo Cim B 20, 309–325 (1974). https://doi.org/10.1007/BF02721571

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