Cox-Thompson反演格式的非奇异位势
On nonsingular potentials of Cox-Thompson inversion scheme
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.
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