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ifos • paper_2 • quantum_mechanicsifos-2019-subject-05-006

Angular momentum, spin etc — UPSC IFoS 2019 Physics PYQ

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In the |jm\rangle basis formed by the eigenkets of J^2 and J_z, show that \langle jm| J_- J_+ |jm\rangle = (j-m)(j+m+1)\hbar^2 where J_+ = J_x + i J_y and J_- = J_x - i J_y.

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