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2. A particle of mass m moves in a region whose potential energy is V = VO.
a) Show that the wave functions Y (x, t) = Asen (kx – wt) and W (x, t) = Acos (kx – wt) do not satisfy the time-
independent Schrodinger equation.
b) Show that ¥ (x,1) = A[cos(kx – wt) + isen(kx – wt)] = Ae'(kx-o1) it does satisfy the time-independent Schrodinger equation,
considering that:
ħo=
2m

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