The explicit relation between the DKP equation and the klein-gordon equation
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CitationBoucherfa, D. ve Boudjedaa, B. (2019). The explicit relation between the DKP equation and the klein-gordon equation. International Conference of Mathematical Sciences (ICMS 2019). s. 166.
Petiau-Duffin-Kemmer (DKP) is a first order relativistic equation to describe spin-0 and spin-1 particles. Many researchers have been interested in the DKP equation. E. Fischbach et al, R.A. Krajcik et al have been interested in the equivalence of the DKP equation with the Klein-Gordon (KG) and the Proca equations. V.Ya. Fainberg et al and J.T. Lunardi have treated the equivalence of DKP and KG equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1 + 3) dimensions and spin-1 particle in (1 + 1) dimensions. By the use of the system of the DKP equation, we get another system generated by the KG equation. Using this equivalence, we calculate the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave.
SourceInternational Conference of Mathematical Sciences (ICMS 2019)
- Makale Koleksiyonu 
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