Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions

Alexander Gusev; Sergue Vinitsky; Ochbadrakh Chuluunbaatar; Vitaly Rostovtsev; Luong Le Hai; Vladimir Derbov; Andrzej Gozdz; Evgenii Klimov

arXiv · 1306.2227

Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions

Alexander Gusev·Sergue Vinitsky·Ochbadrakh Chuluunbaatar·Vitaly Rostovtsev·Luong Le Hai·Vladimir Derbov·Andrzej Gozdz·Evgenii Klimov

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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.

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Alexander Gusev, Sergue Vinitsky, Ochbadrakh Chuluunbaatar, Vitaly Rostovtsev, Luong Le Hai, Vladimir Derbov, Andrzej Gozdz, Evgenii Klimov. 2013-06-10. Symbolic-numerical algorithm for generating cluster eigenfunctions: identical particles with pair oscillator interactions. https://arxiv.org/abs/1306.2227

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