Quantum Tunneling: Reflection and Transmission Probabilities Explained

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Discussion Overview

The discussion revolves around the reflection and transmission probabilities in quantum tunneling, focusing on the mathematical representation of these probabilities and the clarity of the equations presented. The scope includes mathematical reasoning and conceptual clarification.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant presents a mathematical expression relating reflection and transmission probabilities, suggesting a connection to quantum tunneling.
  • Another participant questions whether the initial expression constitutes one or two equations, indicating potential confusion over its format.
  • A different participant challenges the validity of the expression, questioning the placement of brackets and the overall structure.
  • A later reply clarifies that the expression was intended to label terms in a simplified equation, indicating a focus on clarity rather than strict mathematical form.

Areas of Agreement / Disagreement

Participants express differing views on the validity and clarity of the mathematical expression, indicating that there is no consensus on its correctness or interpretation.

Contextual Notes

There are limitations regarding the clarity of the mathematical notation and the assumptions underlying the expressions presented, which remain unresolved.

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(P1 + P2)2 - 4P1P2 = (P1 - P2)2 (A - B = C)

The reflection and transmission probabilities are

R = C/A

T = B/A

Can one understand this from the first equation?
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Last edited:
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Is the first "equation" one or two equations? It is written a bit unconventionally.
 
That is not an equation. Are the brackets in the right places?
 
i just wrote A - B = C
to label the terms in the equation.
 

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