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What is the Momentum Probability for a Gaussian Wave-Packet?
Thanks I think I'm on the right track now. So I've done the Fourier transform to get into momentum space and I'm left with this: \psi(p)=\frac{1}{\sqrt{2\pi\hbar}}\int^{\infty}_{-\infty}\Psi(x,t=0)e^{\tfrac{-ipx}{\hbar}} dx But (I think) that reduces to...- Campbe11
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- Forum: Advanced Physics Homework Help
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What is the Momentum Probability for a Gaussian Wave-Packet?
Homework Statement A free particle at time t=0 has the Gaussian wave-packet: \Psi(x,t=0)=Ae^{-\tfrac{x^2}{2\sigma^2}}e^{ik_0x} (a) What is A? (b) What is the probability of measuring a momentum in the range between p and p+dp? Homework Equations (a) \int^{\infty}_{-\infty}|\Psi(x,t)}|^2...- Campbe11
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- Momentum Particle Qm
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- Forum: Advanced Physics Homework Help