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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.

Modern Physics
Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter7: Tunneling Phenomena
Section: Chapter Questions
Problem 7P
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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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