作为精确可解模型的量子超可积系统
数学物理
2008-04-24 v1 math.MP
可精确求解与可积系统
摘要
我们考虑量子超可积系统的一些例子以及相关的李代数的非线性扩张。阐明了超可积性与精确可解性之间的密切关系。通过对易算符的作用构造了本征函数。从而以类似于李代数最高权表示的方式构造了二次代数的有限维表示。
引用
@article{arxiv.math-ph/0702048,
title = {Quantum Super-Integrable Systems as Exactly Solvable Models},
author = {Allan P. Fordy},
journal= {arXiv preprint arXiv:math-ph/0702048},
year = {2008}
}
备注
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/