Symmetries shared by the Poincaré group and the Poincaré sphere (Q350653)
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scientific article; zbMATH DE number 6662280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetries shared by the Poincaré group and the Poincaré sphere |
scientific article; zbMATH DE number 6662280 |
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Symmetries shared by the Poincaré group and the Poincaré sphere (English)
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9 December 2016
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Summary: 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 Lorentz-invariant quantity, it is shown to be possible to address its variations in terms of the decoherence mechanism in polarization optics.
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Poincaré group
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Poincaré sphere
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Wigner's little groups
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particle mass
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decoherence mechanism
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two-by-two representations
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Lorentz group
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