Defination of eFz in Hamiltonian

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Discussion Overview

The discussion revolves around the definition of "eFz" in the context of the Hamiltonian for electron and longitudinal optical (LO) phonon interactions in an electric field. Participants seek clarification on the meaning of the variables involved, particularly whether "z" represents the position of the electron or the electric field.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that "F" represents the electric field strength and "e" denotes charge, while questioning the role of "z".
  • One participant suggests that "z" could be interpreted as a subscript, indicating a specific position or context within the Hamiltonian.
  • Another participant emphasizes the need for a more detailed description of the problem to provide meaningful responses, highlighting the ambiguity in the original question.
  • It is noted that "F" may be defined as the electric field in various texts, and "eFz" could be interpreted as potential energy, but this interpretation depends on the orientation of "z".
  • A later reply clarifies that "F" is actually a function of "z", indicating that it represents the electric field strength at that specific position.

Areas of Agreement / Disagreement

Participants generally agree that "F" is related to the electric field and "e" is a charge, but there is no consensus on the interpretation of "z" or the overall context of "eFz". The discussion remains unresolved regarding the precise definitions and implications.

Contextual Notes

Participants express uncertainty about the assumptions underlying the original question and the specific system being referenced, which limits the ability to provide definitive answers.

wlzy
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defination of "eFz" in Hamiltonian

I want to know the defination of "eFz" in Hamiltonian for the electron and LO-phonon interaction in electric field, does "z" show the position of the electron?
 
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In the electron–longitudinal optical phonon interaction equation, what should the terms of the Hamiltonian be?

Looking at "eFz", could the z be a subscript? Is F a force, and is e a charge?


This paper might be of interest -
http://adsabs.harvard.edu/abs/1992PhRvB..45.4151N

and perhaps this one -
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000069000011115328000001&idtype=cvips&gifs=yes
 
Last edited by a moderator:
wlzy said:
I want to know the defination of "eFz" in Hamiltonian for the electron and LO-phonon interaction in electric field, does "z" show the position of the electron?

This is such an ill-defined post!

Please EXPLAIN and put some effort into describing your question in detail. In many text and papers, often "F" is defined as the electric field (don't believe me, look at the Fowler-Nordheim paper, and most text that discuss this). So I can easily interpret "eFz" as the potential energy. But this does not tell me anything about how you have oriented "z" (along the chain?).

If you wish someone to put effort and time into responding and doing you a favor, the least you could do is describe the problem as complete as you can.

Zz.
 
wlzy said:
I want to know the defination of "eFz" in Hamiltonian for the electron and LO-phonon interaction in electric field, does "z" show the position of the electron?
To stress a point made above, this post relies entirely on the reader knowing exactly what the poster has in mind. Many people may be able to help if you provided a reference and/or a more complete description of the system.

Right now, I'm pretty sure I know what you are referring to, but I can't be certain. At this point I second Zz's interpretation. F is a field, and z is a position.

More than that from us will likely be speculation unless you provide a fuller description of the system.
 
Last edited:
wlzy said:
I want to know the defination of "eFz" in Hamiltonian for the electron and LO-phonon interaction in electric field, does "z" show the position of the electron?
Here, F is the electric field strength, and e is a charge. I want to know that the z is the position of the electron or the eledtric field?
 
wlzy said:
Here, F is the electric field strength, and e is a charge. I want to know that the z is the position of the electron or the eledtric field?

Take note that F is actually F(z). So this is already the electric field strength at z. Now put a charge e there. What is the potential energy of charge e, at location z, due to the external electric field F(z)?

Zz(z).
 

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