How Does Heisenberg's Microscope Observe Electrons Outside the Aperture Angle?

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The discussion centers on Heisenberg's gamma-ray microscope and its limitations in observing electrons. It is established that the microscope only observes electrons within a limited aperture angle θ, leaving those that scatter outside this angle unobserved. The conversation highlights the flawed nature of the semi-classical model used in this thought experiment and emphasizes the necessity of understanding quantum theory of scattering for accurate insights into electron behavior when interacting with gamma rays.

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Hippasos
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I have a question about Heisenbegs gamma-ray microscope and observed electrons.

In this example is it so that we observe the electron only in limited angle of aperture θ.

So the remaining electrons which scatter the gamma ray outside the aperture θ are not being observed at all?

What would be the limits of Δx for observed electrons at aperture θ and how do we get the actual total electron count (with that I mean aperture independent count)?

Thanks!
 
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Personally, I can't be bothered to attempt an answer to this. "Heisenberg's microscope" is a semi-classical argument, a thought experiment. As a model for scattering it's flawed, and we know it's flawed.

So, trying to answer this would be like trying to explain away a plot-hole in a work of fiction: You already know the real answer, the author screwed up. If you want the real answer to what happens when a gamma ray hits an atom's electron, you study the quantum theory of scattering.
 
Okay I stand corrected!

Thank you.
 

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