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baponkar
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How can I prove Clebesh-Gordan coefficients are real?

I know it is convention to taken Clebesh-Gordan $\color{blue}{<j_1,j_2;m_1,m_2|j_1,j_2;j,m>}$coefficients are real.If I want to make proof it's reality from any physical defination in backward then how can I do that?

baponkar
  • 519
  • 5
  • 16