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arXiv math-ph/9911045math-phcs.NAmath.MPmath.NA
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一种利用固定能量相移求解逆散射问题的近似方法

An approximate method for solving inverse scattering problem with fixed-energy phase shifts

A. G. Ramm, W. Scheid

AI总结:

提出一种近似方法,从所有角动量的固定能量相移中恢复紧支撑球对称势,将逆散射问题简化为数值求解的矩问题。

摘要:

提出了一种近似方法,用于从已知所有角动量的固定能量相移集合中恢复紧支撑球对称势。该方法将逆散射问题简化为一个数值求解的矩问题。上述简化是近似完成的,对于较大的角动量或较小的势能更为精确。

英文摘要:

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a moment problem which is solved numerically. The above reduction is done approximately and it is more accurate for larger angular momenta or for smaller potentials.

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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