College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The uncertainties of a position and a momentum of a particle (Ax) and (Ap) are defined as Ax = /(x²) – (x)² Ap = /(p*) – {p}² 1. For the particle in the box at the ground eigenstate (n = 1) and first excited state ( 2), what is the uncertainty in the value x? How would you interpret the results of these calculations? n = 2. For the particle in the box at the ground eigenstate (n = 1) and first excited state ( n = 2), what is the uncertainty in the value p? How would you interpret the results of these calculations? 3. What is the product for the ground and first excited state: AxAp. 4. Does the Heisenberg Uncertainty Principle hold for a particle in each of these states?
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Transcribed Image Text:The uncertainties of a position and a momentum of a particle (Ax) and (Ap) are defined as Ax = /(x²) – (x)² Ap = /(p*) – {p}² 1. For the particle in the box at the ground eigenstate (n = 1) and first excited state ( 2), what is the uncertainty in the value x? How would you interpret the results of these calculations? n = 2. For the particle in the box at the ground eigenstate (n = 1) and first excited state ( n = 2), what is the uncertainty in the value p? How would you interpret the results of these calculations? 3. What is the product for the ground and first excited state: AxAp. 4. Does the Heisenberg Uncertainty Principle hold for a particle in each of these states?
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Ginent x = kxdZ-4032 Aba <p>-<b> {n} = < (31/72 @ To final Sx for no 1; n = 2 fure partial in 1. Dim Box = I Sinnnx oxca a x

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