We study analytically the two-dimensional deformed bosonic oscillator equation for charged particles (both spin 0 and spin 1 particles) subject to the effect of an uniform magnetic field. We consider the presence of a minimal uncertainty in momentum caused by the anti-de Sitter model and we use the Nikiforov–Uvarov (NU) method to solve the system. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein–Gordon and scalar Duffin–Kemmer–Petiau (DKP) cases and we find that the deformed spectrum remains discrete even for large values of the principal quantum number. For spin 1 DKP case, we deduce the behavior of the DKP equation and write the nonrelativistic energies and we show that the space deformation adds a new spin-orbit interaction proportional to its parameter. Finally, we study the thermodynamic properties of the system and here we find that the effects of the deformation on the statistical properties are important only in the high-temperature regime.

中文翻译：

---

反德西特空间中具有均匀磁场的二维相对论振荡器

我们分析研究了受均匀磁场影响的带电粒子（自旋 0 和自旋 1 粒子）的二维变形玻色子振荡器方程。我们考虑由反德西特模型引起的动量存在最小不确定性，我们使用 Nikiforov-Uvarov (NU) 方法来求解系统。对于 Klein-Gordon 和标量 Duffin-Kemmer-Petiau (DKP) 情况，分析获得了精确的能量特征值和相应的波函数，我们发现即使对于较大的主量子数值，变形谱仍然是离散的。对于自旋 1 DKP 情况，我们推导出 DKP 方程的行为并写出非相对论能量，我们表明空间变形增加了与其参数成比例的新自旋轨道相互作用。最后，