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A particle of mass m in the infinite square well (of width a) starts 1. out in the following state P(0)=40sxa/2) Y(x, 0) = { 0, a12(3x sa.) for some constant A, so it is at t = 0 equally likely to be found at any point in the left half of the well. (a) Sketch the wavefunction and determine the constant A. (b) Construc (x,t). (c) What is the probability that a measurement of the energy would yield the value E₁? (d) Find the expectation value of the energy.

A particle of mass m in the infinite square well (of width a) starts 1. out in the following state P(0)=40sxa/2) Y(x, 0) = { 0, a12(3x sa.) for some constant A, so it is at t = 0 equally likely to be found at any point in the left half of the well. (a) Sketch the wavefunction and determine the constant A. (b) Construc (x,t). (c) What is the probability that a measurement of the energy would yield the value E₁? (d) Find the expectation value of the energy.

College Physics
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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A particle of mass m in the infinite square well (of width a) starts 1. out in the following state P(0)=40sxa/2) Y(x, 0) = { 0, a12(3x sa.) for some constant A, so it is at t = 0 equally likely to be found at any point in the left half of the well. (a) Sketch the wavefunction and determine the constant A. (b) Construc (x,t). (c) What is the probability that a measurement of the energy would yield the value E₁? (d) Find the expectation value of the energy.
Transcribed Image Text:A particle of mass m in the infinite square well (of width a) starts 1. out in the following state P(0)=40sxa/2) Y(x, 0) = { 0, a12(3x sa.) for some constant A, so it is at t = 0 equally likely to be found at any point in the left half of the well. (a) Sketch the wavefunction and determine the constant A. (b) Construc (x,t). (c) What is the probability that a measurement of the energy would yield the value E₁? (d) Find the expectation value of the energy.
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