Undergrad Does the wave function spread more quickly after it is observed?

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The discussion centers on whether the wave function of a particle spreads more quickly after it is observed, particularly in relation to position measurements. It is noted that upon measurement, the wave function collapses to a more localized state, which reduces uncertainty in position but increases uncertainty in momentum, as dictated by the Heisenberg Uncertainty Principle. This increase in momentum uncertainty can lead to a faster spread of the wave function post-measurement. Participants also clarify that while the spread of the wave function is governed by the Schrödinger equation, the initial conditions after measurement can significantly affect the rate of spreading. Overall, the conversation emphasizes the complex interplay between measurement, wave function collapse, and the resulting dynamics of quantum systems.
  • #31
Sciencemaster said:
Of course, I could be wrong, I am human after all. The skeptical emoji is making me nervous...
The Internet is awash with simulations and lectures on the free particle wave-packet:



 
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  • #32
Honestly, I was hoping for an interactive simulation. I was hoping to create something like the first video, but then partway through collapse the wave function. Reflecting on this further, I can better say this as the collapse of the wave function creating a wider spread in the momentum space wave function through the Fourier Transform, which does indeed seem to happen, please correct me if I am wrong.
 
  • #33
Sciencemaster said:
Honestly, I was hoping for an interactive simulation. I was hoping to create something like the first video, but then partway through collapse the wave function. Reflecting on this further, I can better say this as the collapse of the wave function creating a wider spread in the momentum space wave function through the Fourier Transform, which does indeed seem to happen, please correct me if I am wrong.

That's correct. A wave function with a narrow spread in position has a broad spread in momentum. That is the uncertainty principle. However, this does not say anything about how the spread changes with time.
 
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