Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 40, Problem 38AP
To determine

Show that x2=L23L22n2π2 for a particle in infinitely deep 1-D box.

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The wave function for a quantum particle confined to moving in a one-dimensional box located between x = 0 and x = L is                                                        ψ(x) = A sin (nπx/L)Use the normalization condition on ψ to show that                                                               A = √2/L
The first four Hermite polynomials of the quantum oscillator areH0 = 1, H1 = 2x, H2 = 4x2 − 2, H3 = 8x3 − 12x.  Let p(x) = 12x3 − 8x2 − 12x + 7. Using the basis H = {H0, H1, H2, H3}, find the coordinate vector ofp relative to H. That is, find [p]H. This is a textbook question, not a graded question
Q 3: Two people measure a wave of a particle passing from a point in front of them and their measurements are as follows: First person: W, (x,t) = Acos(5x — 3t) Second person: W,(x,t) = Acos(5.1x — 3.2t) 1 Find the wave packet consisting of these two waves in its simplest form. 2 2-If you know that at time t = 0.1s in position x = 1m, The wave packet was ¥(x.t) = 7.9726375772 what is the value of the constant A
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