Understanding the Double-Well Potential in Protein Electron Transfer

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Discussion Overview

The discussion revolves around the concept of a "double-well" potential in the context of protein electron transfer, exploring its implications for quantum tunneling and superposition within proteins.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the definition of a "double-well" potential as it relates to an electrostatic map of a protein, suggesting it may facilitate mobile electron transfer.
  • Another participant shares a link to an image of a double-well potential, possibly to aid in visual understanding.
  • A participant expresses interest in understanding the implications of double-well potentials for quantum tunneling and superposition, questioning whether an electron can occupy both wells simultaneously.
  • A later reply affirms the idea that the electron can be predicted to occupy both wells, explaining that each wavefunction corresponding to an energy level will occupy both wells, and that there is a probability of the particle being in either well over time.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the interpretation of double-well potentials and their implications for electron behavior in proteins. There is no clear consensus on the specifics of these interpretations.

Contextual Notes

Participants have not fully defined the assumptions underlying their claims about quantum mechanics and protein behavior, and the discussion does not resolve the complexities of these concepts.

Billyneutron
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Could someone articulate what a "double-well" potential is, in this context:

An electrostatic map (of a protein) reveled two regions of positive potential surrounded by negative potential. This structure may provide a local double-well potential for mobile electron transfer within the protein
 
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Thanks. I'm trying to understand this in the context of quantum tunneling, superposition.

Could you say that the electron can be predicted to occupy both wells, and that this is superposition-- implying that the protein, which can be in one of two confirmations depending on the location of the mobile electron, can also exist in both confirmations simultaneously?

Thanks
 
Billyneutron said:
Could you say that the electron can be predicted to occupy both wells, and that this is superposition-- implying that the protein, which can be in one of two confirmations depending on the location of the mobile electron, can also exist in both confirmations simultaneously?
Yes. I don't know how much quantum you have had, but the simple explanation is that each wavefunction that corresponds to an energy level will occupy both wells. Even if the particle is known to be in one well at some time, after a while it will have a significant probability of being in the other well too.
 

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