Exercise 4. Calculate (x) and (p) in both the configuration and momen- tum space representations for the square wave packet [equations (49) and (50)] and the Gaussian packet [equations (52) and (53)]. 4(x) elnorin, l지 < L |x| < L %3D V2L (49) 1지 > L,

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Exercise 4. Calculate (x) and (p) in both the configuration and momen-
tum space representations for the square wave packet [equations (49)
and (50)] and the Gaussian packet [equations (52) and (53)].
4(x)
eivozin.
V2L
|x| < L
(49)
= 0
1지 > L,
$(p) = Vh/TL
sin [(Po - p)L/h]
(50)
%3D
Po-P
[iPox
2L?
x2
V(x) = VI/LVT exp
(52)
%3D
$(p) = VL/hVT exp[-(p- Po) L*/2h²],
(53)
%D
Transcribed Image Text:Exercise 4. Calculate (x) and (p) in both the configuration and momen- tum space representations for the square wave packet [equations (49) and (50)] and the Gaussian packet [equations (52) and (53)]. 4(x) eivozin. V2L |x| < L (49) = 0 1지 > L, $(p) = Vh/TL sin [(Po - p)L/h] (50) %3D Po-P [iPox 2L? x2 V(x) = VI/LVT exp (52) %3D $(p) = VL/hVT exp[-(p- Po) L*/2h²], (53) %D
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