4. For a harmonic oscillator, we argued in class that on even/oddness symmetry grounds that (x) = 0 and (p)=0 for any eigenstate. Calculate the standard deviations o and for the harmonic oscillator in the v= 0 state. Does the product, oo,, satisfy the Heisenberg Uncertainty Principle? бр

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter13: Introduction To Symmetry In Quantum Mechanics
Section: Chapter Questions
Problem 13.54E
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4. For a harmonic oscillator, we argued in class that on even/oddness symmetry grounds that
(x) = 0 and (p)=0 for any eigenstate. Calculate the standard deviations and for the
Op
harmonic oscillator in the v=0 state. Does the product, oo, satisfy the Heisenberg
Uncertainty Principle?
Transcribed Image Text:4. For a harmonic oscillator, we argued in class that on even/oddness symmetry grounds that (x) = 0 and (p)=0 for any eigenstate. Calculate the standard deviations and for the Op harmonic oscillator in the v=0 state. Does the product, oo, satisfy the Heisenberg Uncertainty Principle?
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