19. Schrödinger’s equation for the region x> Lis ddxmhEU2222080ψ+−=π. If = De2kx, then d 2/dx2= 4k2De2kx= 4k2and ddxmhkmh222202220848ψψ=ππThis is zero provided khmUE=−π20bgThe proposed function satisfies Schrödinger’s equation provided khas this value. Since U0is greater than Ein the region x> L, the quantity under the radical is positive. This means kis real. If kis positive, however, the proposed function is physically unrealistic.
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