Thomas-Fermi Screening Approximation

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Discussion Overview

The discussion revolves around the Thomas-Fermi screening approximation, specifically addressing confusion regarding its mathematical representation and the physical quantities it approximates, such as length and energy. Participants explore the implications of this approximation in the context of electric field screening in conductors.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about the Thomas-Fermi approximation, noting that while it is expected to approximate a length, the textbook provides an energy value instead.
  • Another participant questions how to derive the screening length of approximately 1 Angstrom as mentioned by a professor, indicating a need for clarification on the method.
  • There is a request for a brief explanation of the Thomas-Fermi method to better understand the screening length, acknowledging a lack of specificity in the original questions posed.
  • One participant reflects on the need to revisit the textbook for more information, indicating a willingness to seek further clarification.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the interpretation of the Thomas-Fermi approximation, as confusion and differing expectations regarding its mathematical representation and physical implications remain evident.

Contextual Notes

Participants have not specified the textbook in question, which may contribute to the confusion. There is also an acknowledgment of the need for more detailed questions to facilitate better understanding.

Who May Find This Useful

This discussion may be useful for students or individuals seeking to understand the Thomas-Fermi screening approximation and its applications in the context of electric field screening in conductors.

calvinjhfeng
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I got quite confused with the math in Thomas-Fermi's approximation.
I thought it was supposed to approximate a length but the math from a textbook gives energy instead.
I don't understand what is it trying to approximate.

My professor told me that normal conductors screen electric field at a very short distance ≈1 Angstrom. He said that is the Thomas-Fermi approximated length.

How to derive that length?
 
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calvinjhfeng said:
I thought it was supposed to approximate a length but the math from a textbook gives energy instead.

And what do you suppose us to do now? Trying to guess what might actually be written in your unspecified textbook?
 
DrDu said:
And what do you suppose us to do now? Trying to guess what might actually be written in your unspecified textbook?

I supposed a brief explanation of Thomas-Fermi method on approximating this screening length so i at least have an idea of what is going on.
However, I agree that I should have been more specific with the questions. Please allow me to go to library again and pull out the book again.
Also thank you for trying to help.
 
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calvinjhfeng said:
I supposed a brief explanation of Thomas-Fermi method on approximating this screening length so i at least have an idea of what is going on.
However, I agree that I should have been more specific with the questions. Please allow me to go to library again and pull out the book again.
Also thank you for trying to help.

which book did you consider in the end?
 

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