The wavefunction of the n-th energy level of a harmonic oscillator can be expressed as: with: Vn(x) = CnHn() exp(- 1/4 1/2 mo d'" C₁² - - (-)" (1) " d ,H()=(-1)" es² 2"n! den and=x√/mw/ħ. Calculate the wavefunctions of a harmonic oscillator for n=0 and n=1. What is the difference between the energy eigenvalues associated with these two wavefunctions?
The wavefunction of the n-th energy level of a harmonic oscillator can be expressed as: with: Vn(x) = CnHn() exp(- 1/4 1/2 mo d'" C₁² - - (-)" (1) " d ,H()=(-1)" es² 2"n! den and=x√/mw/ħ. Calculate the wavefunctions of a harmonic oscillator for n=0 and n=1. What is the difference between the energy eigenvalues associated with these two wavefunctions?
College Physics
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Author:Raymond A. Serway, Chris Vuille
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![The wavefunction of the n-th energy level of a harmonic oscillator can be expressed as:
with:
Pn(x) = CnHn() exp(-
(-$
1/4
ma
1
C.-(m) re
‚H₂(§) = (-1)" es² d
2"n!
C₁ =
den
1/2
and =x√mw/ħ. Calculate the wavefunctions of a harmonic oscillator for n=0 and n=1.
What is the difference between the energy eigenvalues associated with these two
wavefunctions?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16fdbded-e9c1-4626-9523-fdcafa3073a5%2F6259d514-7fd5-4b50-a9d9-c948c8aa2d53%2Flq7nlq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The wavefunction of the n-th energy level of a harmonic oscillator can be expressed as:
with:
Pn(x) = CnHn() exp(-
(-$
1/4
ma
1
C.-(m) re
‚H₂(§) = (-1)" es² d
2"n!
C₁ =
den
1/2
and =x√mw/ħ. Calculate the wavefunctions of a harmonic oscillator for n=0 and n=1.
What is the difference between the energy eigenvalues associated with these two
wavefunctions?
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