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In particle physics, the doublet–triplet (splitting) problem is a problem of some Grand Unified Theories, such as SU(5), SO(10), and . Grand unified theories predict Higgs bosons (doublets of S U ( 2 ) {\displaystyle SU(2)} ) arise from representations of the unified group that contain other states, in particular, states that are triplets of ...
Most simply, a native word can at some point split into two distinct forms, staying within a single language, as with English too which split from to. [3] Alternatively, a word may be inherited from a parent language, and a cognate borrowed from a separate sister language. In other words, one route was direct inheritance, while the other route ...
In quantum mechanics, a doublet is a composite quantum state of a system with an effective spin of 1/2, such that there are two allowed values of the spin component, −1/2 and +1/2. Quantum systems with two possible states are sometimes called two-level systems .
The ability of positronium to form both singlet and triplet states is described mathematically by saying that the product of two doublet representations (meaning the electron and positron, which are both spin-1/2 doublets) can be decomposed into the sum of an adjoint representation (the triplet or spin 1 state) and a trivial representation (the ...
Many word processing and desktop publishing software products have built-in features to control line breaking rules in those languages. In the Japanese language, especially, the categories of line breaking rules and processing methods are determined by the Japanese Industrial Standard JIS X 4051 , and it is called Kinsoku Shori ( 禁則処理 ) .
The triplet consists of three states with spin components +1, 0 and –1 along the direction of the total orbital angular momentum, which is also 1 as indicated by the letter P. The total angular momentum quantum number J can vary from L+S = 2 to L–S = 0 in integer steps, so that J = 2, 1 or 0.
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