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The magnetic moment vectors mu_s and mu_i associated with the intrinsic spin angular momentum S and orbital angular momentum l, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy ) to the given by |
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Answer» Solution :`mu_i` is in accordance with classical theory. It follows from the definitions of `mu_f and l` `mu_i=IA=(e/T)pir^2""l=mvr=m(2pir^2)/T` where r is the radius of the circular orbit which the ELECTRON of MASS m and CHARGE (-e) completes in time T. Clearly , `mu_i/l=e/(2m)` Since charge of electron is negative (=-e) , it is easily seen the `1//4` and l are antiparallel, Therefore , `mu_i=-(e/(2m))` INote `mu_s/S` in contrast to `mu_l/l` is `e/m` . i.e, twice the classically EXPECTED value . This latter result (VERIFIED experimentally ) is an outstanding consequence of modern theory (verified experimentally ) is an outstanding consequence of modern quantum theory and cannot be obtained classically . |
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