a) Enumerate the possible values of j and mj, forthe states in which l=1, and of

Question

a)  Enumerate the possible values of j and mj, forthe states in which l=1, and of course, s=1/2 b) show also the spin and orbital magnetic dipole momentvectors, and their sum the total magnetic dipole momentvector. c) Is the total magnetic dipole moment vector antiparallel tothe total angular momentum vector? a)  Enumerate the possible values of j and mj, forthe states in which l=1, and of course, s=1/2 b) show also the spin and orbital magnetic dipole momentvectors, and their sum the total magnetic dipole momentvector. c) Is the total magnetic dipole moment vector antiparallel tothe total angular momentum vector?

Explanation / Answer

a) The posible values of j are                                     j = | l - s | to | l + s|                     = | 1-1/2 | to | 1 + 1/2 |                     = 1/2 to 3/2                    = 1/2 , 3/2     The possible values of mj for j =1/2 are                      =   -1/2 , 1/2 The possible values of mj for j =3/2are                      =   -3/2 ,- 1/2,1/2, 3/2                      =   -3/2 ,- 1/2,1/2, 3/2                

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