Consider a one-dimensional square-well potential: x < 0 0 a, V(x) = 0, V(x) = -Vo, V(x) = 0, where Vo is positive. (a) If a particle with mass m is incident from the left with relativistic kinetic energy E, what is the probability for transmission through the potential? (b) For what values of E will this probability be unity?

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Consider a one-dimensional square-well potential:
x < 0
0<x<a
x > a,
V(x) = 0,
V(x) = -Vo,
V(x) = 0,
where Vo is positive.
(a) If a particle with mass m is incident from the left with
relativistic kinetic energy E, what is the probability for
transmission through the potential?
(b) For what values of E will this probability be unity?
V(x)
0
-Vo
a
X
O
Transcribed Image Text:Consider a one-dimensional square-well potential: x < 0 0<x<a x > a, V(x) = 0, V(x) = -Vo, V(x) = 0, where Vo is positive. (a) If a particle with mass m is incident from the left with relativistic kinetic energy E, what is the probability for transmission through the potential? (b) For what values of E will this probability be unity? V(x) 0 -Vo a X O
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