Question 1. An electron with a total energy E moves in a 1-D region 1. At x = 0, there is a potential energy step of height Vo(as shown in the figure 2). Where the wave fu e functions 41(x) = Aelax+ Be-iax, 42(x) = Ce-x/b+ Dex/b 1) II) Find the real numbers a and b in terms of E and V.. State whether the electron energy is greater than or less than VO and why. Incident particles Region I V(x) Vo Region II

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Question 1.
An electron with a total energy E moves in a 1-D region 1. At x=0, there is a
potential energy step of height V. (as shown in the figure 2). Where the wave functions
41(x) = Aelax+ Be-iax, 42(x) = Ce-x/b+ Dex/b
1)
H)
Find the real numbers a and b in terms of E and Vo.
State whether the electron energy is greater than or less than VO and why.
Incident particles
Region I
V(x)
Vo
x=0
Region II
Figure 2. Step potential function
Transcribed Image Text:Question 1. An electron with a total energy E moves in a 1-D region 1. At x=0, there is a potential energy step of height V. (as shown in the figure 2). Where the wave functions 41(x) = Aelax+ Be-iax, 42(x) = Ce-x/b+ Dex/b 1) H) Find the real numbers a and b in terms of E and Vo. State whether the electron energy is greater than or less than VO and why. Incident particles Region I V(x) Vo x=0 Region II Figure 2. Step potential function
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