4. A quantum simple harmonic oscillator can be treated as a particle of mass m attached to a spring with an effective spring constant K, oscillating between -o and +oo, as we discussed in class. (a) What is the energy of the first excited state in terms of ħ, m, and K? (b) How much energy does the particle have to absorb in order to jump from the ground state to the second excited state in terms of ħ, m, and K?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter4: Introduction To Quantum Mechanics
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Problem 39P: Chapter 3 introduced the concept of a double bond between carbon atoms, represented by C=C , with a...
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4.
A quantum simple harmonic oscillator can be treated as a particle of mass m attached to a
spring with an effective spring constant K, oscillating between -o and +o, as we discussed in class.
(а)
What is the energy of the first excited state in terms of h, m, and K?
(b)
How much energy does the particle have to absorb in order to jump from the ground state
to the second excited state in terms of ħ, m, and K?
Transcribed Image Text:4. A quantum simple harmonic oscillator can be treated as a particle of mass m attached to a spring with an effective spring constant K, oscillating between -o and +o, as we discussed in class. (а) What is the energy of the first excited state in terms of h, m, and K? (b) How much energy does the particle have to absorb in order to jump from the ground state to the second excited state in terms of ħ, m, and K?
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