Reflection probability in Quantum Mechanics

In summary, reflection probability in quantum mechanics refers to the likelihood of a quantum particle being reflected when encountering a potential barrier. This phenomenon is fundamentally described by the wave nature of particles, where the probability of reflection can be calculated using the wave function and boundary conditions at the interface of different potentials. The reflection probability varies with the energy of the particle and the height and width of the barrier, leading to intriguing implications such as quantum tunneling, where particles can pass through barriers they classically shouldn't be able to cross.
  • #1
MaxJ
7
0
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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  • #2
Did you try to do what they actually say in the text?

1723534387770.png
 
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  • #3
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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