Non-Relativistic Limit of Duffin-Kemmer-Petiau Equation in the Context of Magueijo-Smolin Model of the Doubly Special Relativity

In this article, in the context of the Magueijo–Smolin (MS) model and by using the Foldy-Wouthuysen transformation, we investigate the non-relativistic limit (NRL) of the Duffin–Kemmer–Petiau (DKP) equation for both zero and unity spin particles within the doubly special relativity. Our analysis yields deformed Schrödinger and Schrödinger–Pauli equations, allowing us to assess the influence of the MS model on the NRL of the DKP equation. Additionally, we examine the efficacy and behavior of the Foldy–Wouthuysen transformation in deriving the NRL in the presence of MS model.