Consider an electron trapped in a 20 Å long box whose wavefunction is given following linear combination of the particle's n = 2 and n = 3 states: 2лх sin V10 - sin 4 Y(x,t)=, where E, 21
Consider an electron trapped in a 20 Å long box whose wavefunction is given following linear combination of the particle's n = 2 and n = 3 states: 2лх sin V10 - sin 4 Y(x,t)=, where E, 21
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Transcribed Image Text:Consider an electron trapped in a 20 Å long box whose wavefunction is given by the
following linear combination of the particle's n = 2 and n = 3 states:
¥(x,t) ,
2лх
sin
V10
- sin
4
3xx
le
where E,
a
2ma
Transcribed Image Text:Calculate |Y(x,1)| = 4° (x,1)¥(x.1) and sketch what this looks like for t=0,
3th
2nh
,and t
2(E, – E,)'
You will likely want
2(E,- E,)'
to use a graphing program such as Excel, Mathematica, or Matlab for this. What
happens to the most likely position to find the particle as time progresses? Does it
move? If so, with what frequency does it move?
(E, – E,)
(E,-E.)'
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