2-slit experiment for electron

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The discussion centers on simulating the double slit experiment for electrons using the Monte Carlo method, highlighting the challenge of reconciling classical predictions with experimental results. The user notes that assuming electrons pass through one slit at a time contradicts observed phenomena, as Feynman indicated that electrons can exhibit behavior consistent with passing through both slits simultaneously. There is a debate on whether to incorporate wave properties, specifically the wave function, to accurately represent electron behavior. Suggestions for simulation resources are provided, emphasizing the necessity of understanding the wave function in relation to the uncertainty principle. Ultimately, grasping the wave nature of electrons is crucial for successful simulation outcomes.
markoX
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Hi everybody,
I'm trying to simulate double slit experiment for electron (or any particles) by monte carlo method.but there is something interesting here which I explain it for you.
I supposed that electron will pass one of the splits in each time (by same chance) with random angle in X direction (according to uncertainty principle).results was classically predicted and violate experiment results!
Feynman have reported this result would be appear if you want to know where the electrons go.There are some electrons which pass two split at the same time but how can show it in monte carlo simulation?
should i just consider wave properties of electron (I mean wave function) or ... ?
(But I really want to understand this without using wave function)

Thanks a lot.
 
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If you are going to incorporate the uncertainty principle you must understand the wave function. If an electron is regarded as a particle, which it no longer is, there is no uncertainty.
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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