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Nuclear Physics in a Nutshell by Carlos A. Bertulani

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Appendix B Angular Momentum Coupling

B.1 Tensor Operators

B.1.1 Transformation of operators

If the state vectors |Image〉 are transformed by a unitary transformation U into |Image′〉 = U |Image〉, and the operators O are transformed according to

Image

all physical amplitudes are preserved,

It means that the new operators O′ play exactly the same role in the new conditions ...

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