Bohm guiding field, electrons in a semiconductor "box"

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SUMMARY

The discussion focuses on the behavior of electrons in a 2D semiconductor "box" as analyzed through Bohmian mechanics (BM). It highlights the role of the guiding field in influencing electron dynamics before and after they are counted. The guiding field is shown to change with the addition of electrons, and its evaluation is linked to the wave function of the electrons. Specifically, if the wave function is sinusoidal (sin kx), the electrons remain fixed, whereas a wave function of the form eikx indicates movement.

PREREQUISITES
  • Bohmian mechanics (BM) fundamentals
  • Quantum mechanics wave functions
  • 2D semiconductor physics
  • Light sensor technology in cameras
NEXT STEPS
  • Explore the implications of wave function shapes on electron behavior in Bohmian mechanics
  • Investigate the mathematical modeling of guiding fields in semiconductor physics
  • Study the role of light in populating semiconductor boxes and its effect on electron dynamics
  • Review literature on the interaction between guiding fields and electrical signals in light sensors
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Physicists, electrical engineers, and researchers interested in quantum mechanics, semiconductor technology, and the application of Bohmian mechanics in practical scenarios.

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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