question_answer 25)

The magnetic moment vectorsand associated with the intrinsic spin angular momentum S and orbital angular momentum , respectively, of an electron are predicted by quantum theory (and verified experimental to a high accuracy) to be given by :                 ,                                 Which of these relations is in accordance with the result expected classically? Outline the derivation of the classical result.  

Answer:

                Using                                      Also orbital angular momentum,                                                                  Charge of electron is negative e, therefore, and are anti-parallel. and L are perpendicular to the plane of orbit. Thus                                 This relation is as per classical physics.                 Relation  i.e. can not be obtained classically. This relation is due to modern quantum theory.