Reflection probability in Quantum Mechanics

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SUMMARY

The discussion centers on the reflection probability formula in Quantum Mechanics, specifically the relationship defined by the equation R + T = 1, where R represents reflection probability and T represents transmission probability. Participants express uncertainty regarding the derivation of the transmission probability formula and seek guidance on the logical steps needed for proof. The conversation highlights the importance of understanding foundational principles in Quantum Mechanics to grasp these concepts effectively.

PREREQUISITES
  • Basic understanding of Quantum Mechanics principles
  • Familiarity with probability theory in physics
  • Knowledge of wave-particle duality
  • Experience with mathematical proofs in physics
NEXT STEPS
  • Research the derivation of the reflection and transmission probability formulas in Quantum Mechanics
  • Study the concept of wave functions and their role in Quantum Mechanics
  • Learn about boundary conditions in quantum systems
  • Explore the implications of R + T = 1 in different quantum scenarios
USEFUL FOR

Students of Quantum Mechanics, physicists, and anyone interested in understanding the principles of reflection and transmission probabilities in quantum systems.

MaxJ
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Homework Statement
below
Relevant Equations
below
For this,
1723530842653.png

The solution is
1723530868613.png

1723530895562.png

I have doubt where they got the reflection probability formula from. Someone may know how to find it. I think that ##R + T = 1##. But I'm not sure where the transmission probability formula comes from either.

Kind wishes
 
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Did you try to do what they actually say in the text?

1723534387770.png
 
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Orodruin said:
Did you try to do what they actually say in the text?

View attachment 349853
Sir, blessed.

I have a doubt where to start in the proof. Not sure what logic to use.
 

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