Question: 2. Consider the hyperfine correction in the hydrogen energy state due to the nuclear magnetic moment is given by Hny = AI . J, where

 2. Consider the hyperfine correction in the hydrogen energy state due

2. Consider the hyperfine correction in the hydrogen energy state due to the nuclear magnetic moment is given by Hny = AI . J, where I and J represent the nucleus spin quantum number and total angular momentum quantum number respectively. Use F = I + J. Now consider the zemman splitting in presence both weak and strong magnetic field of the given system with a Zeeman splitting Hamiltonian as HZeeman = -Mtotal . B where UT = -geMBJ + 9p/BI. Here ge and gp denote the magnetic moment g-factor for the electron and proton respectively. Draw the energy level diagram for both weak and strong magnetic field cases. Also write the allowed possible transitions

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