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Almost 100 years ago, two different expressions were proposed for the energy-momentum tensor of an electromagnetic wave in a dielectric. Minkowski's tensor predicted an increase in the linear momentum of the wave on entering a dielectric medium, whereas Abraham's tensor predicted its decrease. Theoretical arguments were advanced in favor of both sides, and… (More)

- Robert N C Pfeifer, Jutho Haegeman, Frank Verstraete
- Physical review. E, Statistical, nonlinear, and…
- 2014

The efficient evaluation of tensor expressions involving sums over multiple indices is of significant importance to many fields of research, including quantum many-body physics, loop quantum gravity, and quantum chemistry. The computational cost of evaluating an expression may depend strongly on the order in which the index sums are evaluated, and… (More)

Almost a hundred years ago, two different expressions were proposed for the energy–momentum tensor of an electromagnetic wave in a dielectric. Minkowski's tensor predicted an increase in the linear momentum of the wave on entering a dielectric medium, whereas Abraham's tensor predicted its decrease. Theoretical arguments were advanced in favour of both… (More)

With the advent in scientific language the terms «negative refraction coefficient» or «negative refraction» as well as related terms, researchers put some questions, which generally speaking have a much broader significance than the above words. The notion of «negative refraction coefficient» was shown for the first time probably in our early work 1.… (More)

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