Publisher Correction: Second-order spectral lineshapes from charged interfaces
The original version of this Article contained an error in Equation 3b. A ‘ + ’ sign incorrectly appeared instead of a ‘–’ sign in the denominator of the right-hand side of the equation and incorrectly read: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{...
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| Autores principales: | , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Nature Portfolio
2018
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/e4aef5757ff34cbebc718b954f626a22 |
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| Sumario: | The original version of this Article contained an error in Equation 3b. A ‘ + ’ sign incorrectly appeared instead of a ‘–’ sign in the denominator of the right-hand side of the equation and incorrectly read: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa + i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ + i Δ k z χ 3 The correct form of the equation is as follows: $$\left( {\chi _1^{\left( 3 \right)} + i\chi _2^{\left( 3 \right)}} \right) = \left( {\frac{{\kappa ^2}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)} + i\frac{{\kappa \Delta k_z}}{{\kappa ^2 + \left( {\Delta k_z} \right)^2}}\chi ^{\left( 3 \right)}} \right) = \frac{\kappa }{{\kappa - i\Delta k_z}}\chi ^{\left( 3 \right)}$$ χ 1 3 + i χ 2 3 = κ 2 κ 2 + Δ k z 2 χ 3 + i κ Δ k z κ 2 + Δ k z 2 χ 3 = κ κ - i Δ k z χ 3 This has now been corrected in both the PDF and HTML versions of the Article. |
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