Duffin-Kemmer-Petiau particles in the presence of the spiral dislocation
S. Hassanabadi, S. Zare, B. C. L\"utf\"uo\u{g}lu, J. K\v{r}\'i\v{z},, H. Hassanabadi

TL;DR
This paper analyzes how a topological spiral dislocation in space-time affects spin-zero boson fields described by the DKP equation, providing exact solutions and energy spectra for different potential scenarios.
Contribution
It presents the first exact solutions of the DKP equation in a space-time with spiral dislocation, highlighting the topological defect's impact on boson behavior.
Findings
Spiral dislocation alters energy eigenvalues.
Wave functions are affected by the topological defect.
The study provides analytical solutions in the presence of a static potential.
Abstract
In this study, we investigated the influence of the topological defects space-time with a spiral dislocation on a spin-zero boson field by using the Duffin-Kemmer-Petiau (DKP) equation. To be more specific, we solved the generalized spin-zero DKP equation in the presence of a spiral dislocation exactly. We derived the wave function and corresponding energy eigenvalues for two cases, in the absence and presence of a static potential by using analytical methods. We numerically demonstrated the effect of the spiral dislocation on the solutions.
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