Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions
Abstract
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.
Cite
@article{arxiv.1306.2227,
title = {Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions},
author = {Alexander Gusev and Sergue Vinitsky and Ochbadrakh Chuluunbaatar and Vitaly Rostovtsev and Luong Le Hai and Vladimir Derbov and Andrzej Gozdz and Evgenii Klimov},
journal= {arXiv preprint arXiv:1306.2227},
year = {2013}
}
Comments
15 pages, 3 figures, 3 tables, The talk presented at the 15th International Workshop "Computer Algebra in Scientific Computing 2013," Berlin, Germany, September 9-13, 2013