1. A particle is confined in a region 0≤x≤ and has a wavefunction of the form = Ne-xa (a) Normalize the wave function. (b) Find the average position of the article. (c) Find the average momentum of the particle. (d) Show that the uncertainties in position and momentum of the particle are given by 1 Ax=and Ap = 0. 2a
1. A particle is confined in a region 0≤x≤ and has a wavefunction of the form = Ne-xa (a) Normalize the wave function. (b) Find the average position of the article. (c) Find the average momentum of the particle. (d) Show that the uncertainties in position and momentum of the particle are given by 1 Ax=and Ap = 0. 2a
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter40: Quantum Mechanics
Section: Chapter Questions
Problem 47CP
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![1. A particle is confined in a region 0 ≤ x ≤ ∞ and has a wavefunction of the form 4 =
Ne-xa.
(a) Normalize the wave function.
(b) Find the average position of the article.
(c) Find the average momentum of the particle.
(d) Show that the uncertainties in position and momentum of the particle are given by
1
Ax and Ap = 0.
=
2a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F784f758b-a879-4790-94ae-3a157a87816a%2Fd1cbea8f-dac6-4bbc-825a-bc12bd044cab%2F499qxfk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. A particle is confined in a region 0 ≤ x ≤ ∞ and has a wavefunction of the form 4 =
Ne-xa.
(a) Normalize the wave function.
(b) Find the average position of the article.
(c) Find the average momentum of the particle.
(d) Show that the uncertainties in position and momentum of the particle are given by
1
Ax and Ap = 0.
=
2a
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