6.5. Consider a wave packet defined by 0 p<-P/2 (ply)= N -P/2 P/2 (a) Determine a value for N such that (1)=1 using the momentum-space wave function directly. (b) Determine (x)=(x). (c) Sketch (pl) and (x1). Use reasonable estimates of Ap, from the form of (ply) and Ax from the form of (x) to estimate the product Ax Ap.. Check that your result is independent of the value of P. Note: Simply estimate rather than actually calculate the uncertainties.
6.5. Consider a wave packet defined by 0 p<-P/2 (ply)= N -P/2 P/2 (a) Determine a value for N such that (1)=1 using the momentum-space wave function directly. (b) Determine (x)=(x). (c) Sketch (pl) and (x1). Use reasonable estimates of Ap, from the form of (ply) and Ax from the form of (x) to estimate the product Ax Ap.. Check that your result is independent of the value of P. Note: Simply estimate rather than actually calculate the uncertainties.
Question
Transcribed Image Text:6.5. Consider a wave packet defined by
0 p<-P/2
(ply)=
N -P/2<p<P/2
0
p> P/2
(a) Determine a value for N such that (1)=1 using the momentum-space
wave function directly.
(b) Determine (x)=(x).
(c) Sketch (pl) and (x1). Use reasonable estimates of Ap, from the form of
(ply) and Ax from the form of (x) to estimate the product Ax Ap.. Check
that your result is independent of the value of P. Note: Simply estimate rather
than actually calculate the uncertainties.
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