I 5. Suppose that a wavefunction is given by. 0 v (e,t) = { = { t < 0 expli(kx- (ER- iT/2)t/h)] t≥0' where ER and I> 0 are parameters. (a) What is y(x, t)|2 for t≥ 0? Note that this wavefunction could represent that of state (or particle) produced at time t = 0 which decays with a mean lifetime of T = ħ/T. (b) This wavefunction can be transformed the the energy domain via a Fourier Transform: Þ(x, E) = What is Þ(x, E) ? 1 √2V(x, t) expli(Et/h)] dt. 2π
I 5. Suppose that a wavefunction is given by. 0 v (e,t) = { = { t < 0 expli(kx- (ER- iT/2)t/h)] t≥0' where ER and I> 0 are parameters. (a) What is y(x, t)|2 for t≥ 0? Note that this wavefunction could represent that of state (or particle) produced at time t = 0 which decays with a mean lifetime of T = ħ/T. (b) This wavefunction can be transformed the the energy domain via a Fourier Transform: Þ(x, E) = What is Þ(x, E) ? 1 √2V(x, t) expli(Et/h)] dt. 2π
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I need help with question 5 part a and b.
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