Momentum, pseudomomentum, and wave momentum: Toward resolving the Minkowski-Abraham controversy
Autor: | D. F. Nelson |
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Rok vydání: | 1991 |
Předmět: | |
Zdroj: | Physical Review A. 44:3985-3996 |
ISSN: | 1094-1622 1050-2947 |
DOI: | 10.1103/physreva.44.3985 |
Popis: | We derive the momentum and pseudomomentum conservation laws from a very general nonrelativistic Lagrangian theory of the interaction of the electromagnetic field with a deforming, dispersive dielectric. From the former of these laws, we obtain the momentum density of an electromagnetic wave in matter to be ${\mathrm{\ensuremath{\epsilon}}}_{0}$E\ifmmode\times\else\texttimes\fi{}B, not the Abraham form of ${\mathrm{\ensuremath{\epsilon}}}_{0}$E\ifmmode\times\else\texttimes\fi{}${\mathrm{\ensuremath{\mu}}}_{0}$H. From the latter of these laws, we obtain the electromagnetic pseudomomentum density in the absence of deformation of the matter to be P\ifmmode\times\else\texttimes\fi{}B plus a dispersive term, not the Minkowski form of D\ifmmode\times\else\texttimes\fi{}B as proposed by Blount (unpublished). We show by quantizing the energy of the wave that the sum of momentum and pseudomomentum, which we name wave momentum, corresponds to N\ensuremath{\Elzxh}k (N an integer), the quantity that enters wave-vector conservation or phase-matching relations in wave interactions and that is consistent with the Jones-Richards experiment. |
Databáze: | OpenAIRE |
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