A Can scattering experiment be used to determine location and momentum of an electron?

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Compton scattering can theoretically determine an electron's location by measuring the change in wavelength and angle when a photon collides with it. The equations provided relate the change in momentum and position to the wavelength and time interval of the photon. However, the discussion highlights that the uncertainty principle remains applicable, as the variables involved are complementary observables. This means that while one can measure certain aspects of the electron's state, the uncertainty principle prevents precise simultaneous knowledge of both position and momentum. The conversation emphasizes that the uncertainty principle cannot be circumvented in this context.
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It seems Compton scattering experiment can be used to determine location of electron by hitting it with photon.
As per Compton scattering. if we measure λ' , λ and θ accurately; the location of electron can be determined.(in theory).

λ' - λ = h(1-cosθ)/m*c

also when θ=π then :

Δp = h*/λ -h*/λ'

Δx = c * Δ t / 2 where Δ t = time interval of photon discharge from source and receiving it on detector.

In this scenario ; can someone please explain how uncertainty principle applies to Compton scattering??
 
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I haven't read the Stack Exchange thread, but at a heuristic level, looking at your expressions for ##\Delta p## and ##\Delta x##, the former involves wavelength and the latter involves time. Those are complementary observables just as momentum and position are complementary observables. So you haven't found a way to avoid the uncertainty principle; you've just exchanged one pair of complementary observables for another.
 
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