by, Jomari L. Tanghal, MS Physics I, MSU-IIT Given the Hamiltonian operator, where the operators x and p satisfy the commutation relation . Find the following commutators: a.                           b. Solution: Given the Hamiltonian operator, and  a.) solving for  , Thus, […]

Vanessa V. Destura, MSU-IIT Let be an eigenvector of and with eigenvalues and respectively. Now, we take the square of the norm of the eigenvalue equations for and For : For :   where Note that We expand the left-hand side of the equations obtained for (equation ) and (equation ) and substitute equations and […]

By Kim S. Ponce, MS Physics I, MSU-IIT   Problem   Given the recursion relation: . (a) Find    for large . (b) Compare result from (a) to .   Solution   Starting with the recursion relation,       When , the expression above reduces to     Now, we compare this to  which […]