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In: Physics

Consider the step potential V (x) = 0 x ≤ 0 (I) = V0 x >...

Consider the step potential
V (x) = 0 x ≤ 0 (I)

= V0 x > 0 (II) .
(a) What does the wave function for the scattering problem with 0 < E < V0 look like in regions I and II? (Write the equation for the wave functions, including only terms with non-zero coefficients.)
(b) What are the boundary conditions for the wave function and its derivative at x = 0? Define constants you are using (e.g., κ, k, l or whatever else you are using).
(c) Find the reflection coefficient.

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