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Equation 11 · Part 2 · A Reference Frame Becomes Classical by Publishing Its Orientation

Symbol O

SO(3)/SO(2)SO(3)/SO(2)
OO

What this part means

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

O is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Let G be a compact group. For a full spatial orientation one may choose SO(3) ; for a single direction carried by a spin-coherent state the parameter space is the sphere S2S^2 , equivalently the quotient SO(3)/SO(2) . That distinction is not cosmetic. A spin pointing along n\mathbf n does not encode rotation about n\mathbf n , so it cannot specify a full triad.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

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