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There is a question that puzzle me when I apply numerical method to principal value integral. Let me descibe it. We make use of the fact that the integral ##\int_0^\infty \frac{dk}{k^2-k_0^2}## vanishes, namely, $$ \int_0^\infty \frac{dk}{k^2-k_0^2} = 0 . $$ We use this formula to express a...

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