ABSTRACT

Bound state solutions of a quantum Dirac particle with a tensor interactions terms are investigated by Asymptotic Iteration Method. The eigenvalues are calculated for tensor potentials and formulated into closed forms. Similarity Transformation is used to convert the Dirac equation into a generalized useful form. The s-wave analytical solutions for the relativistic problems of the Dirac-oscillator, Scarf, Rosen-Morse II, and Pöschl-Teller tensor potentials are obtained with an excellent agreement with previous works.

中文翻译：

---

渐近迭代法研究张量相互作用势的狄拉克粒子的束缚态解

摘要

利用渐近迭代法研究了具有张量相互作用项的量子狄拉克粒子的束缚态解。计算张量势的特征值并将其制定为封闭形式。相似变换用于将Dirac方程转换成广义的有用形式。与狄拉克振荡器，围巾，Rosen-Morse II和Pöschl-Teller张量势的相对论问题相关的s波解析解与先前的工作取得了很好的一致性。