4.3 A particle with mass m and energy E is moving in one dimension from right to left. It is incident on the step potential V(x) = 0 for x < 0 and V(x) Vo for x 0, where Vo > 0, as shown on the diagram. The energy of the particle is E > Vo. = V(x) V = Vo V=0 x = 0 (a) Solve the Schrödinger equation to derive 4(x) for x < 0 and x>0. Express the solution in terms of a single unknown constant. (b) Calculate the value of the reflection coefficient R for the parti- cle.

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4.3 A particle with mass m and energy E is moving in one dimension
from right to left. It is incident on the step potential V(x) = 0 for
x < 0 and V(x) Vo for x 0, where Vo > 0, as shown on the
diagram. The energy of the particle is E > Vo.
=
V(x)
V = Vo
V=0
x = 0
(a) Solve the Schrödinger equation to derive 4(x) for x < 0 and
x>0. Express the solution in terms of a single unknown constant.
(b) Calculate the value of the reflection coefficient R for the parti-
cle.
Transcribed Image Text:4.3 A particle with mass m and energy E is moving in one dimension from right to left. It is incident on the step potential V(x) = 0 for x < 0 and V(x) Vo for x 0, where Vo > 0, as shown on the diagram. The energy of the particle is E > Vo. = V(x) V = Vo V=0 x = 0 (a) Solve the Schrödinger equation to derive 4(x) for x < 0 and x>0. Express the solution in terms of a single unknown constant. (b) Calculate the value of the reflection coefficient R for the parti- cle.
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