论文标题

关于误解条件可溶的量子力学问题

On the misinterpretation of conditionally-solvable quantum-mechanical problems

论文作者

Fernández, Francisco M.

论文摘要

我们将Frobenius(功率系列)方法应用于具有假定物理兴趣的一些简单可溶解和有条件可溶解的量子力学模型。我们表明,在最近的论文中得出的径向特征值方程的精确解决方案是不正确的,因为它们不满足某些众所周知的定理。我们还通过上述方法讨论错误的起源。

We apply the Frobenius (power-series) method to some simple exactly-solvable and conditionally-solvable quantum-mechanical models with supposed physical interest. We show that the supposedly exact solutions to radial eigenvalue equations derived in recent papers are not correct because they do not satisfy some well-known theorems. We also discuss the origin of the mistake by means of the approach indicated above.

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