p14.12

of the time independent Schrdinger equation, (x,t)=n(x)e(iEn/)t+m(x)e(iEm/)t is a solution of the time dependent Schrdinger equation. P14.13 Is the relation (A^f(x))/f(x)=A^ always obeyed? If not, give an example to support your conclusion. P14.14 Is the relation A^[f(x)+g(x)]=A^f(x)+A^g(x) always obeyed? If not, give an example to support your conclusion. P14.15 In classical mechanics, the angular momentum vector L is defined by L=rp. Determine the x component of L. Substitute quantum mechanical operators for the components of r and p to prove that l^x=i(yzzy). P14.16 Show that the three wave functions in Equation 14.11 are normalized