Calculate Persistence Current with Probability & Charge Density

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SUMMARY

The calculation of persistence current can be approached by multiplying probability current by charge density, particularly in the context of an electron circulating in a one-dimensional loop. This method aligns with classical definitions of current, which focus on the amount of charge passing a point over time, regardless of whether the same charge is repeatedly passing. For more complex analyses, such as time variation of current or quantum mechanical descriptions, additional context is required to refine the approach.

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  • Basic knowledge of classical current definitions
  • Awareness of magnetic field effects on charged particles
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shomey
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Can I calculate persistence current by multipling the (probability current)x(charge density)?
It sounds a little strage but this is the only thing in my mind...
 
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let me rephrase myself...
I have an electron circulating a one dimensional loop, and i want to caluclate the current.
may i do this by calculating (probability current)*(charge density) ?
 
From a classical perspective, the current is the amount of charge that passes a given point in a wire per unit time. It does not matter if it is the same charge passing the same point over and over again, and it does not matter if the charge is really in a wire, or confined to a loop by another force such as a magnetic field.

If you are trying to do something more detailed, like exploring the time variation of the current at some point, or relating current to some quantum theoretical desctiption of the charge motion, then I think you need to expand your question to include the context.
 

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