广义Woods-Saxon势的转移共振.pdfVIP

Vo l. 29 No.3 第 29 卷第3 期 原子与分子物理学报 JOURNAL OF ATOMIC AND MOLECULAR PHYSICS Jun. 2012 2012 年 6 月 doi ,103969/j. issn. 1000-0364.2012.03.006 广义Woods-Saxon 势的转移共振 周俊青l ，郭建友2 (1.安徽省科普产品工程研究中心.合肥 230001 ， 2. 安徽大学物理与材料科学学院，合胆 230039) 摘 要:本文严格求解了-维广义 Woods-Saxon 势的萍定古等方程，导出了用起几何函数表达的散射态波 函数，获得了转移和反射~数的解析表迄式.利用流函数的连续性条件，计算了在广义 Woods-Saxon 势中 运动位子的转移和反射革数.特别池，详细分析了转移共振和广义 W∞ds-Saxon 势的参数关革，展示 1~ 生转移共振的条件. 关键词:转移共振s 广义 Woods-Saxon 势e 薛定诗方程 中圈分类号: 0562.5 文献标识码:A 文章编号: 1000-0364(2012)03-0405-06 Transmission resonance for a particle in a generalized Woods-Saxon potential 1 2 ZHOU Jun-Qing • GUO Jian-You (1. Engineering Research Center of Popular Science Products in Anhui Province , Hefei 230001 , China; 2. Sch∞I 01 Physics and Material 副ence， Anhui univer.ity , Hefei 230039 , China) Abstract: We have solved exactly the Sd凹凸dinger equation in the presence of a spatially one-dimensional generalized Woods-Saxon potential , and presented the wavefunctions of scattering states in terms of hy- pergeometric functions. We have derived out the transmission and reflection coefficients by the matching condition on the wavefunctions , and investigated the condition for the existence of transmission reso- nance. Furthermore , we have demonstrated how the transmission resonance depends on the shape of this potentia l. Key WOJ由: transmission resonance , generalized Woods-Saxon potential , Schrödinger equation It is well kno