By: Argielou A. Flores, MSU-IIT Show that Solution: Given the following: So if normalize  is given we can then obtain  using ladder operator  as shown below,   Taking its inner product we have, Note that, where with eigenvalue   Going on, we now have where  for  normalized and By this we obtain the normalization constant […]

  By: Argielou A. Flores, MSU-IIT Derive the gyromagnetic ratio, , of electron Solution: The magnitude of the magnetic moment of a current loop, where is the current, is the area enclosed For an electron with frequency , in a circular orbit of radius , it has a current and area of,   Substituting these, […]

By: Jenard B. Cerbanez, MS Physics I, MSU-IIT   Show that ħ Solution: Given that, ,     where , Thus, however, . Now we are left with the terms, where  Therefore, ħ, where ħ (Canonical Commutator).

By: Jenard B. Cerbanez, MS Physics I, MSU-IIT   Show that ħ Solution: Given that, ,     where , Thus, however, . Now we are left with the terms, where ħ Therefore, ħ, where ħ (Canonical Commutator).

By: Jenard B. Cerbanez, MS Physics I, MSU-IIT   Show that ħ Solution: Given that, ,     where , Thus, however, . Now we are left with the terms, where ħ (Canonical Commutator) Therefore, ħ, where .