对称族与氢原子
表示论
2022-08-31 v4 数学物理
math.MP
摘要
我们研究氢原子的一类新型对称性，涉及由定态薛定谔方程中能量值参数化的代数群族。我们从薛定谔方程的解构造了一个Harish-Chandra模的代数族，并刻画了该族。我们证明了物理态的子空间可通过Jantzen filtration从我们的代数族获得，并利用极限吸收原理将我们的代数方法与谱理论和散射理论相联系。
引用
@article{arxiv.1908.01905,
title = {Families of Symmetries and the Hydrogen Atom},
author = {Nigel Higson and Eyal Subag},
journal= {arXiv preprint arXiv:1908.01905},
year = {2022}
}
备注
Following the advice of the anonymous referee the title was changed and the introduction was revised. A new paragraph commenting on the dynamical symmetry O(4,2) and its minimal representation was added