Undergrad Bohm guiding field, electrons in a semiconductor "box"

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The discussion explores the behavior of electrons in a 2D semiconductor light sensor through the lens of Bohmian mechanics. It questions whether a guiding field exists for the electrons before they are loaded into the sensor's "boxes" and how this field evolves as electrons accumulate. The status of the electrons while waiting to be counted is also examined, with the movement of electrons depending on the wave function. If the wave function indicates a stationary state, the electrons remain fixed; if it suggests a traveling wave, they exhibit movement. The conversation highlights the complexity of evaluating the guiding field and its changes over time in relation to the sensor's operation.
Spinnor
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TL;DR
Bohm guiding field, electrons in semiconductor box.
Consider the light sensor in a modern camera. Light can give energy to electrons and populate the numerous "boxes" of our light sensor with extra electrons. Those boxes will temporally store the electrons till they are counted. I would like to understand this process with my "Bohmian" glasses on. For simplicity the problem might be better examined in two space dimensions if that is possible. Say we turn on the light for a quick bit and "load" some electrons in our 2D semiconductor boxes. In terms of Bohm mechanics, BM, was there a guiding field for our electrons in our 2D box before the electrons arrived? Is the guiding field easy to evaluate? Does the guiding field in the box change as electrons are added to the box?

In BM what is the status of the electrons once we can assume they are in the box waiting to be counted? Are the electrons considered fixed in the space of the box before being counted or do they move around?

Electrical signals are sent to the box with the accumulated electrons and they are counted, I guess the guiding field must guide the electrons to a different part of the light sensor and so the guiding field changes with time? Is this change straight forward to graph?

Any reading which might answer these questions would be welcome. Thanks for any help.
 
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Spinnor said:
Are the electrons considered fixed in the space of the box before being counted or do they move around?
It depends on the wave function, which can be determined by standard quantum theory. If the wave function is something like ##{\rm sin}kx## then they don't move. If the wave function is something like ##e^{ikx}## then they move.
 
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