新的类氢等谱势族
New Families of Isospectral Hydrogen-like potentials
摘要:
通过应用代数技巧,我们构造了一个严格等谱类氢势的双参数族以及它的一些单参数极限。另外还研究了一个单参数类氢势的几乎等谱族。有人认为,使用小于偏离哈密顿量的基态能量的因子分解能量$δ$的超对称性伙伴哈密顿量的建设是不必要的限制。
英文摘要:
By applying algebraic techniques, we construct a two-parametric family of strictly isospectral Hydrogen-like potentials as well as some of its one-parametric limits. An additional one-parametric almost isospectral family of Hydrogen-like potentials is also investigated. It is argued that the construction of a SUSY partner Hamiltonian using a factorization energy $δ$ less than the ground state energy of the departure Hamiltonian is unnecessarily restrictive.
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