arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.05069quant-phmath-phmath.MP
收藏

两种新势下薛定谔方程的束缚态解

Bound-state solutions of the Schrödinger equation for two novel potentials

A. D. Alhaidari, I. A. Assi

摘要:

我们求解了两个具有丰富结构的势模型的束缚态的一维薛定谔方程,如它们的“谱相图”所示。这些潜在的不属于众所周知的一类完全可解的问题。解是用雅可比多项式表示的平方可积函数的有限级数。

英文摘要:

We solve the one-dimensional Schrödinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do not belong to the well-known class of exactly solvable problems. The solutions are finite series of square integrable functions written in terms of the Jacobi polynomials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑