Abstract
In Chap. 10, we discussed the microscopic linear response theory from a general point of view paying special attention to spatial nonlocality. The response tensors \(\vec{\Sigma }(\vec{r},\vec{r}\prime;\omega )\) and \(\vec{R}(\vec{r},\vec{r}\prime;\omega )\), describing the microscopic current density (\(\vec{J}(\vec{r};\omega )\)) induced by the transverse part (\(\vec{{E}}_{\mathrm{T}}(\vec{r};\omega )\)) of the local electric field and the longitudinal part (\(\vec{{E}}_{\mathrm{L}}^{\mathrm{ext}}(\vec{r};\omega )\)) of the external field, respectively, played a central role in our discussion but no attempts were made to carry out an explicit calculation of these quantities.
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© 2011 Springer-Verlag Berlin Heidelberg
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Keller, O. (2011). Density Matrix Formalism: Hamilton and Current Density Operators – Gauge Invariance. In: Quantum Theory of Near-Field Electrodynamics. Nano-Optics and Nanophotonics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17410-0_11
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DOI: https://doi.org/10.1007/978-3-642-17410-0_11
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