Generalised matrix elements in discrete and continuum states for the Morse potential
Generalised matrix elements in discrete and continuum states for the Morse potential
复制标题
莫尔斯势的离散和连续状态下的广义矩阵元
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
A. Matsumoto
中科院分区：
文献类型：
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作者：
A. Matsumoto
讨论了Morse势的离散态和连续态的本征函数。证明了离散态和连续态的本征函数的正交性。广义矩阵元由解析表达式给出。精确地得到了Morse势的L=0(S波)的相移。此外，附录中还给出了与合流超几何函数和拉盖尔多项式有关的积分的解析计算。
The eigenfunctions in discrete and continuum states for the Morse potentials are discussed. The orthogonality relations of the eigenfunctions in the discrete and continuum states are proved. The generalised matrix elements are given by analytic expressions. The phaseshift for l=0(s wave) for the Morse potential is obtained exactly. In addition, analytic evaluations of integrals related to the confluent hypergeometric functions and the Laguerre polynomials are given in the appendix.