9.19 (a) Calculate Ax Apx for a particle in a linear box for n = 1, 2, and 3 using the equation in Example 9.13. Compare these values with the minimum product of uncertainties from the Heisenberg uncertainty principle. (b) What is the uncer- tainty in x for a particle in a 0.2-nm box when its quantum num- ber is unity? In a 2-nm box?
9.19 (a) Calculate Ax Apx for a particle in a linear box for n = 1, 2, and 3 using the equation in Example 9.13. Compare these values with the minimum product of uncertainties from the Heisenberg uncertainty principle. (b) What is the uncer- tainty in x for a particle in a 0.2-nm box when its quantum num- ber is unity? In a 2-nm box?
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.61E: What is the physical explanation of the difference between a particle having the 3-D rotational...
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![n =
9.19 (a) Calculate Ax Apx for a particle in a linear box for
1, 2, and 3 using the equation in Example 9.13. Compare
these values with the minimum product of uncertainties from
the Heisenberg uncertainty principle. (b) What is the uncer-
tainty in x for a particle in a 0.2-nm box when its quantum num-
ber is unity? In a 2-nm box?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e016ba9-be75-4ab5-96e4-3d5462dbea62%2F660c4f45-5a3c-4210-9e30-e00e78d5b7e6%2Flafvf2_processed.png&w=3840&q=75)
Transcribed Image Text:n =
9.19 (a) Calculate Ax Apx for a particle in a linear box for
1, 2, and 3 using the equation in Example 9.13. Compare
these values with the minimum product of uncertainties from
the Heisenberg uncertainty principle. (b) What is the uncer-
tainty in x for a particle in a 0.2-nm box when its quantum num-
ber is unity? In a 2-nm box?
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