2018/01/31 by Yidong Liao, Ian Marquette, Yao-Zhong Zhang · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #quant-ph
paper · pdf · doi:10.1088/1751-8121/aac111
published as J. Phys. A: Math. Theor. 51 (2018) 255201 (13pp) · LaTex 12 pages, 4 figures. Version to appear in J. Phys. A: Math. Theor
arxiv created 2018/04/30 · arxiv updated 2018/05/25
We analyse the n-dimensional superintegrable Kepler-Coulomb system with non-central terms. We find a novel underlying chain structure of quadratic algebras formed by the integrals of motion. We identify the elements for each sub-structure and obtain the algebra relations satisfied by them and the corresponding Casimir operators. These quadratic sub-algebras are realized in terms of a chain of deformed oscillators with factorized structure functions. We construct the finite-dimensional unitary representations of the deformed oscillators, and give an algebraic derivation of the energy spectrum of the superintegrable system.