论文标题
在具有非零角动量的几种体量子系统的研究中，离散变量表示方法
Discrete Variable Representation method in the study of few-body quantum systems with non-zero angular momentum
论文作者
论文摘要
考虑了具有小结合能和广泛分布在空间结合态波函数的系统。由于与这些系统的波函数的特征大小相比，相互作用势是弱的，因此局限于本地化，因此准确确定结合能和波函数的问题是复杂的。该研究的重要组成部分是离散变量表示（DVR）方法的开发和应用。该方法基于基本函数的确定以及正交公式的节点和权重，以使函数的值在所有这些节点（除一个节点）中为零。使用此表示，计算哈密顿矩阵元素所需的时间大大减少。使用DVR方法获得了几种由氦气和锂原子组成的系统的结合能。
The systems with small binding energies and widely distributed in space bound-state wave functions are considered. Because the interaction potential is weak and rather localized compared to the characteristic sizes of wave functions of these systems, the problem of an accurate determination of binding energy and wave functions is complicated. An essential part of the study is the development and application of the discrete-variable representation (DVR) method. This method is based on the determination of basis functions and the nodes and weights of a quadrature formula in such way that the values of a function are zero at all these nodes but one. With this representation the time required for calculating the Hamiltonian matrix elements is substantially reduced. The binding energies of several systems consisting of helium and lithium atoms have been obtained using the DVR method.
