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6 In slide 15 show that A- Interpretation of (V. The probability of finding an object (i.e., an electron) in somewhere (x and x+dx) is
6 In slide 15 show that A- Interpretation of (V. The probability of finding an object (i.e., an electron) in somewhere (x and x+dx) is proportional to y*y: P(x, x+dx) ~ y*ydx Probability of finding an electron inside the nanowire: P(0, L) =Ex={S Un dx (note N is the last level occupied by electrons) If considering only one level, let us say n=1 only, then we will have: PCO, L) = S( 41 42 dx= S Asin(kqx)Asin(k x)dx Assuming P(0,L)=1, find("A3 Note sink,x=(1-cos(2k,x))/2 Note that cos(2kqx) dx=0 (actually S cos(2knx) dx=o for any n) Show that A= 72/L
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