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?

Principles of Modern Chemistry
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ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
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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?
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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