Harmonic Oscillator Lie Bialgebras and their Quantization
q-alg
2017-04-17 v1 量子代数
摘要
All possible Lie bialgebra structures on the harmonic oscillator algebra are explicitly derived and it is shown that all of them are of the coboundary type. A non-standard quantum oscillator is introduced as a quantization of a triangular Lie bialgebra, and a universal -matrix linked to this new quantum algebra is presented.
引用
@article{arxiv.q-alg/9701027,
title = {Harmonic Oscillator Lie Bialgebras and their Quantization},
author = {Angel Ballesteros and Francisco J. Herranz},
journal= {arXiv preprint arXiv:q-alg/9701027},
year = {2017}
}
备注
8 pages, LaTeX; communication presented in the XXI ICGTMP, Goslar (Germany) 1996