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<p>In this paper, we investigate spin-0 and spin-1 Duffin-Kemmer-Petiau (DKP) particles within the context of the Magueijo-Smolin (MS) model, which constitutes one of the proposals in the concept of doubly special relativity (DSR). Our focus is on a two-dimensional DKP oscillator under a uniform magnetic field. For spin-0 particles, we explicitly derive the energy eigenvalues, while for spin-1 particles, we analyze the non-relativistic limit and present the system in the form of a Schrödinger oscillator, the non-relativistic energy spectra are obtained. Moreover, we report a special solution for the case of spin-1 particles. For both cases, the corresponding wave functions are expressed in terms of confluent hypergeometric functions. Finally, we show the influence of DSR on the eigenenergy values.</p>

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DKP Oscillator in \( (1+2)- \)dimensions Under a Uniform Magnetic Field for Spin\( -0 \) and Spin\( -1 \) Particles with in Doubly Special Relativity

  • 期刊论文

  • 发表日期：

    2025年6月6日

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  • Djamel Seffai,
  • Omar Langueur

摘要

In this paper, we investigate spin-0 and spin-1 Duffin-Kemmer-Petiau (DKP) particles within the context of the Magueijo-Smolin (MS) model, which constitutes one of the proposals in the concept of doubly special relativity (DSR). Our focus is on a two-dimensional DKP oscillator under a uniform magnetic field. For spin-0 particles, we explicitly derive the energy eigenvalues, while for spin-1 particles, we analyze the non-relativistic limit and present the system in the form of a Schrödinger oscillator, the non-relativistic energy spectra are obtained. Moreover, we report a special solution for the case of spin-1 particles. For both cases, the corresponding wave functions are expressed in terms of confluent hypergeometric functions. Finally, we show the influence of DSR on the eigenenergy values.