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For a particle with energy E< U, incident on the poten-
tial energy step, use yo and w, from Eqs. 5.57, and eval-
uate the constants B and D in terms of A by applying the
boundary conditions at x = 0.
I

wo(x) = A sin kox + Bcos kox
w₁(x)=Cex + De-*1x
2mE
ko =
x<0 (5.57a)
h²
k₁
==
2mm (U₁ - E)
h²
(U-E) x>0 (5.57b)

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