Recent content by Gabri110
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Difference between expectation value of ##x## and classical amplitude of oscillation for an harmonic oscillator
Yeah, my bad, I had forgotten to divide by 2 the ladder operators...- Gabri110
- Post #5
- Forum: Advanced Physics Homework Help
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Difference between expectation value of ##x## and classical amplitude of oscillation for an harmonic oscillator
Oh my... Thank you, I feel so dumb right now...- Gabri110
- Post #3
- Forum: Advanced Physics Homework Help
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Difference between expectation value of ##x## and classical amplitude of oscillation for an harmonic oscillator
Using the ladder operators I can easily compute ##E = \langle H\rangle = \hbar \omega n##, so I can find the amplitude of the classical oscillator, as ##E = \frac{1}{2} m \omega^2 x_{max}^2##, thus, ##x_{max} = \sqrt{\dfrac{2 E}{m \omega^2}} = \sqrt{\dfrac{2\hbar n}{m \omega}}##. The...- Gabri110
- Thread
- Quantum harmonic oscillator
- Replies: 4
- Forum: Advanced Physics Homework Help