A particle of mass m moves in a region in which the potential energy is constant, V
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A particle of mass m moves in a region in which the potential energy is constant, V = V0.
(a) Show that neither Ψ(x,t) = Asin(kx - ωt) nor Ψ(x,t) = Acos (kx-ωt) satisfies the time-dependent Schrödinger equation.
(b) Show that Ψ(x, t) = A[cos(kx - ωt) + isin (kx - ωt)] = Aei(kx - ωt) does satisfy the time-independent Schrödinger equation provided that k, V0, and v are related by Equation 6-5.
Transcribed Image Text:
frw = 22 + V 2m 6-5
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