论文标题
（2+1） - 维数达芬 - 基德·吉姆 - 彼得振荡器在外部磁场中的分裂频率
Splitting frequency of the (2+1)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field
论文作者
论文摘要
我们通过DKP场的4x4和6x6表示，在外部磁场中重新访问（2+1） - 维度DKP振荡器，从而获得了文献中研究的几个病例。我们发现，根据振荡器，外部场和自旋的相互作用而产生的自旋投影，在DKP振荡器的频率上进行了分裂，从而以统一的方式表达了能量和特征功能。对于磁场的某些临界值，取消了自旋投影-1和1组件中的振荡。我们研究了矢量部门的典型集合的热力学，在振荡的取消时，报告了相变。热力学电势在高温限制下迅速收敛到其渐近表达式，而在磁场的恢复下，分区函数对称。
We revisit the (2+1)-dimensional DKP oscillator in an external magnetic field by means of 4x4 and 6x6 representations of the DKP field, thus obtaining several cases studied in the literature. We found an splitting in the frequency of the DKP oscillator according to the spin projection that arises as an interplay between the oscillator, the external field and the spin, from which the energies and the eigenfunctions are expressed in a unified way. For certain critical values of the magnetic field the oscillation in the components of spin projections -1 and 1 is cancelled. We study the thermodynamics of the canonical ensemble of the vectorial sector, where a phase transition is reported when the cancellation of the oscillation occurs. Thermodynamic potentials converge rapidly to their asymptotical expressions in the high temperature limit with the partition function symmetric under the reversion of the magnetic field.
