The harmonic oscillator is used as a model to describe the vibrational motion of a diatomic molecule, where the wave function is expressed as a function of 'x' What does the coordinate 'x' in the 1-D harmonic oscillator model correspond to in the equivalent diatomic molecule? The deviation from the center of mass. The deviation from the equilibrium bond distance. ) The distance from the rotational axis. ) The distance between the two atoms. Quantum mechanics is a probabilistic theory, so in general one cannot predict exactly what one will measure for a given observable. Under what conditions can one predict exactly what one will measure? When you know the exact wave function of the system. When the operator corresponding to the observable is Hermitian. O One cannot ever predict what one will exactly measure - there is always a theoretical variance in the measurement of any observable. When the wave function is an eigenfunction of the operator corresponding to the observable.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter18: More Statistical Thermodynamics
Section: Chapter Questions
Problem 18.55E
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The harmonic oscillator is used as a model to describe the vibrational motion of a
diatomic molecule, where the wave function is expressed as a function of 'x. What
does the coordinate 'x' in the 1-D harmonic oscillator model correspond to in the
equivalent diatomic molecule?
The deviation from the center of mass.
The deviation from the equilibrium bond distance.
The distance from the rotational axis.
The distance between the two atoms.
Quantum mechanics is a probabilistic theory, so in general one cannot predict
exactly what one will measure for a given observable. Under what conditions can one
predict exactly what one will measure?
When you know the exact wave function of the system.
When the operator corresponding to the observable is Hermitian.
One cannot ever predict what one will exactly measure - there is always a
theoretical variance in the measurement of any observable.
O When the wave function is an eigenfunction of the operator corresponding to
the observable
Transcribed Image Text:The harmonic oscillator is used as a model to describe the vibrational motion of a diatomic molecule, where the wave function is expressed as a function of 'x. What does the coordinate 'x' in the 1-D harmonic oscillator model correspond to in the equivalent diatomic molecule? The deviation from the center of mass. The deviation from the equilibrium bond distance. The distance from the rotational axis. The distance between the two atoms. Quantum mechanics is a probabilistic theory, so in general one cannot predict exactly what one will measure for a given observable. Under what conditions can one predict exactly what one will measure? When you know the exact wave function of the system. When the operator corresponding to the observable is Hermitian. One cannot ever predict what one will exactly measure - there is always a theoretical variance in the measurement of any observable. O When the wave function is an eigenfunction of the operator corresponding to the observable
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