产生团簇本征函数的符号-数值算法：具有对振子相互作用的全同粒子
Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions
摘要：
考虑了由A全同粒子组成的团簇的量子模型，该团簇由内部对相互作用耦合并受靶的外场作用。本文利用MAPLE计算机代数系统，给出了一种生成A-1维振子本征函数的符号-数值算法，该本征函数是关于A全同粒子在新对称坐标系中的排列对称或反对称的。分析了一维欧氏空间中A-1维振子函数的对称坐标表示的生成实例。该方法的目的是解决隧道的集群，由几个相同的粒子，通过排斥势垒的目标。
英文摘要：
The quantum model of a cluster, consisting of A identical particles, coupled by the internal pair interactions and affected by the external field of a target, is considered. A symbolic-numerical algorithm for generating A-1-dimensional oscillator eigenfunctions, symmetric or antisymmetric with respect to permutations of A identical particles in the new symmetrized coordinates, is formulated and implemented using the MAPLE computer algebra system. Examples of generating the symmetrized coordinate representation for A-1 dimensional oscillator functions in one-dimensional Euclidean space are analyzed. The approach is aimed at solving the problem of tunnelling the clusters, consisting of several identical particles, through repulsive potential barriers of a target.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
