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note
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This expansion does not apply to l = 0 because the first two integrals diverge. The integral in Eq. (9), however, can be calculated analytically for all l. The result is not displayed here because it is not illuminating. The analytic result for l ≠ 0 agrees with the expansion equation (10).
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T. L. Ho and N. Zahariev, cond-mat/2004
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