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)]. V(x) = V2L elporin 1지 < L (49) 1지 > L,
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)]. V(x) = V2L elporin 1지 < L (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)
eiporin,
V2L
1지 < L
(49)
= 0
1지 > L,
%3D
$(p) = Vh/TL
sin [(Po - p)L/h]
(50)
%3D
Po-P
x2
(x) = V1/LVT exp
(52)
%3D
2L?
$(p) = VL[hV exp[-(p- Po) L*/2h²],
(53)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25e17929-72fc-41d1-b673-bb7487092f93%2F6d174391-299a-4253-9ba3-b6bd36064c64%2Fpvko7d_processed.jpeg&w=3840&q=75)
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)
eiporin,
V2L
1지 < L
(49)
= 0
1지 > L,
%3D
$(p) = Vh/TL
sin [(Po - p)L/h]
(50)
%3D
Po-P
x2
(x) = V1/LVT exp
(52)
%3D
2L?
$(p) = VL[hV exp[-(p- Po) L*/2h²],
(53)
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