使用逆Stieltjes变换的Nakanishi权重函数的方程
Equation for the Nakanishi weight function using the inverse Stieltjes transform
摘要：
Nakanishi用光滑权函数g表示束缚态Bethe-Salpeter振幅。通过使用广义Stieltjes变换，我们推导出一个积分方程的Nakanishi函数g的束缚态的情况下。它具有标准形式g= Vg，其中V是二维积分算子。给出了从Bethe-Salpeter方程的核K出发求核V的方法。
英文摘要：
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi in terms of a smooth weight function g. By using the generalized Stieltjes transform, we derive an integral equation for the Nakanishi function g for a bound state case. It has the standard form g= Vg, where V is a two-dimensional integral operator. The prescription for obtaining the kernel V starting with the kernel K of the Bethe-Salpeter equation is given.
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