منابع مشابه
Symmetries Shared by the Poincaré Group and the Poincaré Sphere
Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner’s little groups for internal space-time symmetries are studied in detail. While the particle mass is a...
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A great advance in physics came when it was realized that it was better to think about motion in empty space rather than starting with what happen in the “real world” with gravity pulling things downwards, friction slowing things down, etc. First, that the laws of physics should be the same at one point as at another, i.e. that they are translation invariant, and also from one day to another, i...
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A great advance in physics came when it was realized that it was better to think about motion in empty space rather than starting with what happen in the “real world” with gravity pulling things downwards, friction slowing things down, etc. First, that the laws of physics should be the same at one point as at another, i.e. that they are translation invariant, and also from one day to another, i...
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This article presents a new definition of Branson’s Q-curvature in even dimensional conformal geometry. The Q-curvature is a generalization of the scalar curvature in dimension 2: it satisfies an analogous transformation law under conformal rescalings of the metric and on conformally flat manifolds its integral is a multiple of the Euler characteristic. Our approach is motivated by the recent w...
متن کاملChapter 17 Poincaré and Susy 17 . 1 Poincaré Invariance
A great advance in physics came when it was realized that it was better to think about motion in empty space rather than starting with what happen in the “real world” with gravity pulling things downwards, friction slowing things down, etc. First, that the laws of physics should be the same at one point as at another, i.e. that they are translation invariant, and also from one day to another, i...
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ژورنال
عنوان ژورنال: Lettera Matematica
سال: 2013
ISSN: 2281-6917,2281-5937
DOI: 10.1007/s40329-013-0004-2