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An electron having E=1.5 eV is incident from the left on an infinite thick barrier of height V=1 ev. E=1.5 eV V=1 eV V=0 x = 0 (1) Solve for the wavefunction everywhere. (Hint: The general format of the wavefunction can be written as: Viet Cexp(ik,x)+ Dexp(-ik,x),(i.e. the sum of the incident and reflected waves). V ok2 = Fexp(ikgx)(i.e. the transmitted wave). Note that we do not have a backward propagating wave on the right hand side of the barrier because there is no reflection beyond the barrier). (2) What is the amplitude of the reflection (R=[D/C1)? Is it equal to zero like the classical case? (Hint: From the boundary condition of continuity, you can find the relationship between C, D and F, and k. and ką, which yields to a certain constant number of R. (3) Use Matlab or Mathematica to plot the resulting probability density, and give explicit expressions for any key distances in your plot. For the plot, you can assume C=1.
In 다. regain schreidinger egr -t? + = EYI 2M th you ant vylievi ( l -)vi=0 2ME d²4, dx² t2 d²4, ki?Y .=0 K2= + 2ME 72 x² solving we X get WIE 4 1 = Apik Bekx + iki x travelline alo
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