College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
It's the question with the infinite square well.The picture is attached
![Question
1. A particle in the infinite square well has the initial wave function
L
2Ax,
5x50
3'
Y(x,0) =
| A(L
L
-– x), <x< L,
otherwise,
for some constant A. This wave function is sketched below.
¥(x,0)
2AL
(a) Determine the constant A by normalizing Y(x, 0).
(b) Find Y(x,t).
(c) Calculate the probability that a measurement of the energy would yield the values (i) E,,
(ii) E2, and (iii) E3.
(d) Calculate the average position, (x), of the particle at t = 0.
(e) Calculate the average momentum, (p), of the particle at t = 0.
nn
(f) Calculate the average energy, (E), of the particle. (Note: E-1 sin? () = )
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4af00069-6a64-40e6-9aef-2be033299a76%2F0be56b20-ab46-49d7-a7c3-a4a1731d18ea%2F0zcl3la_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question
1. A particle in the infinite square well has the initial wave function
L
2Ax,
5x50
3'
Y(x,0) =
| A(L
L
-– x), <x< L,
otherwise,
for some constant A. This wave function is sketched below.
¥(x,0)
2AL
(a) Determine the constant A by normalizing Y(x, 0).
(b) Find Y(x,t).
(c) Calculate the probability that a measurement of the energy would yield the values (i) E,,
(ii) E2, and (iii) E3.
(d) Calculate the average position, (x), of the particle at t = 0.
(e) Calculate the average momentum, (p), of the particle at t = 0.
nn
(f) Calculate the average energy, (E), of the particle. (Note: E-1 sin? () = )
n=1
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