Klein–Gordon and Dirac Equations in de Sitter Space–Time

被引:5
|
作者
E. A. Notte Cuello
E. Capelas De Oliveira
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关键词
Field Theory; Elementary Particle; Quantum Field Theory; Wave Equation; Dirac Equation;
D O I
10.1023/A:1026647005325
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学科分类号
摘要
We present and discuss the Klein–Gordonand Dirac wave equations in the de Sitter universe. Toobtain the Dirac wave equation we use the factorizationof the second-order invariant Casimir operatorassociated to the Fantappie–de Sitter group. Boththe Klein–Gordon and Dirac wave equations arediscussed in terms of the spherical harmonics with spinweight. A particular case of Dirac wave equation issolved in terms of a new class of polynomials.
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页码:585 / 598
页数:13
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