Recent content by goolsby
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Find the expectation value of momentum squared for a simple harmonic oscillator
Uh oh, I didn't substitute for a. Is this a common constant? They give what A0 is, but it goes away with the identity for <x2>.- goolsby
- Post #6
- Forum: Advanced Physics Homework Help
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Find the expectation value of momentum squared for a simple harmonic oscillator
The momentum operator squared is -hbar2 δ2/δx2- goolsby
- Post #4
- Forum: Advanced Physics Homework Help
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Find the expectation value of momentum squared for a simple harmonic oscillator
Find the expectation value of (px)2, keeping in mind that ψ0(x) = A0e−ax2 where A0 = (2mω0/h)^1/4, and <x2> = ∫x2|ψ|2dx = h_bar / 2mω0 <ψ(x)|px2|ψ(x)> = ∫ψ(x)(pop2)ψ(x) dx pop = [hbar / i] (\delta/\deltax) I'm not going to attempt to type out me solving the integral because it...- goolsby
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- Expectation Expectation value Harmonic Harmonic oscillator Momentum Oscillator Simple harmonic oscillator Value
- Replies: 6
- Forum: Advanced Physics Homework Help