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There are, for example, lists of spherical tensoroperatorsfor [itex]l=\text{integer}[/itex] steps, e.g. [itex]l=0,1,2,...[/itex].

[tex]

T_{k}^{q}(J)\rightarrow T_{0}^{0}=1, \quad T_{1}^{\pm 1}=\mp \sqrt{\frac{1}{2}}J_{\pm},\quad T_{1}^0=J_z

[/tex]

and this continues forever. I was wondering if there are operators in this spherical tensor form for half integers steps of [itex]k[/itex] instead of integer. And if not, why?

Thank you,

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# Spherical Tensor operators for half-integers

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