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arXiv 1111.6029math-phmath.CAmath.MPquant-ph
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Cox-Thompson反演格式的非奇异位势

On nonsingular potentials of Cox-Thompson inversion scheme

Tamas Palmai, Barnabas Apagyi

摘要:

我们建立了一个条件,使用Cox-Thompson逆散射方法与一个相移获得非奇异的潜力。通过保持变换核的基本Regge-Newton积分方程的唯一解,避免了势的异常奇异性。作为副产品,发现了新的贝塞尔函数零点不等式序列。

英文摘要:

We establish a condition for obtaining nonsingular potentials using the Cox-Thompson inverse scattering method with one phase shift. The anomalous singularities of the potentials are avoided by maintaining unique solutions of the underlying Regge-Newton integral equation for the transformation kernel. As a by-product, new inequality sequences of zeros of Bessel functions are discovered.

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。

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