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...
متن کاملChapter 16 Poincaré and Susy 16 . 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...
متن کاملChapter 15 Poincaré and Susy 15 . 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...
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...
متن کاملA Singular Poincaré
We prove a Poincaré lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of sp(2r, R). This result has a natural interpretation in terms of the cohomology associated to the infinitesimal deformation of a completely integrable system.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1967
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1967.20.559