Extensions of solvable potentials with finitely many discrete eigenstates
Extensions of solvable potentials with finitely many discrete eigenstates
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具有有限多个离散本征态的可解势的扩展
DOI：
10.1088/1751-8113/46/23/235205
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Odake and R. Sasaki
中科院分区：
文献类型：
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作者：
Y.Aoki;T.Aoyama;M.Kurachi; T.Maskawa;K.Nagai;H.Ohki; E.Rinaldi;A.Shibata; K.Yamawaki;T.Yamazaki;S. Odake and R. Sasaki
我们解决的问题，合理的扩展的六个例子的形状不变的潜力，有许多离散的本征态。过冲本征函数提出的候选人在这一组中唯一的虚拟状态波函数，这是一个必不可少的成分，这些潜在的多指标和等谱扩展。它们与本征函数具有完全相同的形式，但它们的次数远高于n max，因此它们的能量低于基态能量。
We address the problem of rational extensions of six examples of shape-invariant potentials having finitely many discrete eigenstates. The overshoot eigenfunctions are proposed as candidates unique in this group for the virtual state wavefunctions, which are an essential ingredient for multi-indexed and iso-spectral extensions of these potentials. They have exactly the same form as the eigenfunctions but their degrees are much higher than n max so that their energies are lower than the groundstate energy.