论文标题
广义 - 丁克谐波和非谐振荡器的相对论解决方案
Relativistic Solutions of Generalized-Dunkl Harmonic and Anharmonic Oscillators
论文作者
论文摘要
Dunkl导数通过讨论其反射操作员的平等性来丰富解决方案。最近,该手稿的一位作者提出了最通用的dunkl衍生物形式之一,该形式取决于三个Wigner参数以具有更好的调整。在本手稿中,我们在相对论方程式中采用了后一种广义的dunkl衍生物来检查二维谐波和无谐振荡器的解决方案。我们分别通过Nikiforov-Uvarov和QES方法获得了解决方案。我们表明,根据Wigner参数值可能发生退化状态。
Dunkl derivative enriches solutions by discussing parity due to its reflection operator. Very recently, one of the authors of this manuscript presented one of the most general forms of Dunkl derivative that depends on three Wigner parameters to have a better tuning. In this manuscript, we employ the latter generalized Dunkl derivative in a relativistic equation to examine two-dimensional harmonic and anharmonic oscillators solutions. We obtain the solutions by Nikiforov-Uvarov and QES methods, respectively. We show that degenerate states can occur according to the Wigner parameter values.