(4) particle is represented by the following wave function: 4(x) = 0 x < -L/2 4(x) = = C (2+1) -L/2 < x < 0 (x) = c(+1) 0 < x < + 1/2 (x) = 0 x > L/2 (a) Use the normalization condition to find C in terms of L. (b) Find the average value of x, (c) Find the average value of x², < x² > (d) Use your answers from (b) and (c) to find xrms.
(4) particle is represented by the following wave function: 4(x) = 0 x < -L/2 4(x) = = C (2+1) -L/2 < x < 0 (x) = c(+1) 0 < x < + 1/2 (x) = 0 x > L/2 (a) Use the normalization condition to find C in terms of L. (b) Find the average value of x, (c) Find the average value of x², < x² > (d) Use your answers from (b) and (c) to find xrms.
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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Transcribed Image Text:(4) particle is represented by the following wave function:
4(x) = 0
x < -L/2
4(x) =
= C (2+1)
-L/2 < x < 0
(x) = c(+1)
0 < x < + 1/2
(x) = 0
x > L/2
(a) Use the normalization condition to find C in terms of L.
(b) Find the average value of x, <x>
(c) Find the average value of x², < x² >
(d) Use your answers from (b) and (c) to find xrms.
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