Superintegrability on the two dimensional hyperboloid II
量子物理
2015-06-26 v1 高能物理 - 理论
数学物理
math.MP
摘要
This work is devoted to the investigation of the quantum mechanical systems on the two dimensional hyperboloid which admit separation of variables in at least two coordinate systems. Here we consider two potentials introduced in a paper of C.P.Boyer, E.G.Kalnins and P.Winternitz, which haven't yet been studied. We give an example of an interbasis expansion and work out the structure of the quadratic algebra generated by the integrals of motion.
引用
@article{arxiv.quant-ph/9907037,
title = {Superintegrability on the two dimensional hyperboloid II},
author = {E. G. Kalnins and W. Miller and Ye. M. Hakobyan and G. S. Pogosyan},
journal= {arXiv preprint arXiv:quant-ph/9907037},
year = {2015}
}
备注
18 pages, LaTex; 1 figure (eps)