论文标题
散射幅度与Poschl-Teller双环状库仑电势中的热力学特性一起
Scattering Amplitude Together with Thermodynamic Properties in the Poschl-Teller Double Ring-Shaped Coulomb Potential
论文作者
论文摘要
对于任何自旋轨量子数k，我们获得了DIRAC方程的精确解决方案。波函数以K/2PI量表的连续状态的超几何序列表示。还发现了相移的公式。在非依赖主义的限制中，我们对狄拉克系统的解决方案会收敛到Schrödinger的限制。在高温下，计算分区函数以研究某些热力学特性的行为。
We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this potential has been studied. The wave functions are expressed in terms of the hyper-geometric series of the continuous states on the K/2Pi scale. A formula for the phase shifts has also been found. In the nonrelativistic limits, our solution to the Dirac system converges to that of the Schrödinger one. At the high temperature, the partition function is calculated in order to study the behavior of some thermodynamic properties.
