Starting with the Hamiltonian HI = - HI . ( BJ + Bext ) - MJ . Bext ( 1 ) where IT is the nuclear magnetic moment , I's is the electronic magnetic...

We need to derive the Breit-Rabi Formula using whats given to us below:

A. Starting with the HamiltonianHI = - HI . ( BJ + Bext ) - MJ . Bext( 1 )where IT is the nuclear magnetic moment , I's is the electronic magnetic moment , By is the magnetic field atthe nucleus arising from the rest of the atom , and Bext is an externally applied field , derive the Breit - Rabilaw in the low-field case :"V2.799Bext2 1 + 1MHz / gauss( 2 )( See Ramsey , for example . | Again , look for any notational differences that may exist ; Ramsey lays out hisconventions in the text , but some analysis may be required nonetheless . )Also work out the numerical values of the g-factor associated with the split hyperfine states for $Rb and87 Rub . You will be asked to demonstrate this in the Pre-lab discussion , but you should not include it in yourlab write up .