标题： D维空间中包含轨道离心项的一些物理标量和矢量指数型势的克莱因-戈登方程的束缚态 显示英文标题

标题： Bound states of the Klein-Gordon equation in D-dimensions with some physical scalar and vector exponential-type potentials including orbital centrifugal term

摘要： 克莱因-戈登方程在包含离心势项的等标量和矢量指数型势场中的近似解析束缚态解对于任意轨道角动量数l和维数空间D得到了求解。相对论/非相对论能量谱方程以及相应的未归一化径向波函数，用雅可比多项式P_{n}^{({\alpha },{\beta })}(z)表示，其中{\alpha }>-1，{\beta }>-1且z\in [-1,+1]或者广义超几何函数_{2}F_{1}(a,b;c;z)，被找到。 使用了尼基福罗夫-乌瓦罗夫（NU）方法进行求解。 埃克特、罗森-莫尔斯、赫尔滕和伍兹-萨克斯势模型的解可以很容易地从这些解中得到。 我们的结果与文献中出现的结果相同。 最后，在PT对称性下，我们可以很容易地得到三角罗森-莫尔斯势的束缚态解。 显示英文摘要

摘要： The approximate analytic bound state solutions of the Klein-Gordon equation with equal scalar and vector exponential-type potentials including the centrifugal potential term are obtained for any arbitrary orbital angular momentum number l and dimensional space D. The relativistic/non-relativistic energy spectrum equation and the corresponding unnormalized radial wave functions, in terms of the Jacobi polynomials P_{n}^{({\alpha},{\beta})}(z), where {\alpha}>-1, {\beta}>-1 and z\in[-1,+1] or the generalized hypergeometric functions _{2}F_{1}(a,b;c;z), are found. The Nikiforov-Uvarov (NU) method is used in the solution. The solutions of the Eckart, Rosen-Morse, Hulth\'en and Woods-Saxon potential models can be easily obtained from these solutions. Our results are identical with those ones appearing in the literature. Finally, under the PT-symmetry, we can easily obtain the bound state solutions of the trigonometric Rosen-Morse potential.