Reflection probability in Quantum Mechanics

AI Thread Summary
The discussion centers on the reflection probability formula in quantum mechanics, specifically questioning the derivation of the formula and its relationship to transmission probability, expressed as R + T = 1. Participants express uncertainty about the starting point for proving these concepts and the logical steps involved. There is a suggestion to refer back to the text for guidance on the derivation process. Overall, the conversation highlights a need for clarity on foundational principles in quantum mechanics. Understanding these probabilities is crucial for further exploration in the field.
MaxJ
Messages
7
Reaction score
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
 
Physics news on Phys.org
Did you try to do what they actually say in the text?

1723534387770.png
 
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.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »
Thread 'Minimum mass of a block'

Thread 'Minimum mass of a block'

Here we know that if block B is going to move up or just be at the verge of moving up ##Mg \sin \theta ## will act downwards and maximum static friction will act downwards ## \mu Mg \cos \theta ## Now what im confused by is how will we know " how quickly" block B reaches its maximum static friction value without any numbers, the suggested solution says that when block A is at its maximum extension, then block B will start to move up but with a certain set of values couldn't block A reach...
View full post »

Similar threads

Final momentum of box with reflective interior hit by ideal laser
Replies
4
Views
915
EM Wave Reflection and Transmission Between 3 Materials
Replies
12
Views
2K
E<V Potential Step Confusion
Replies
7
Views
2K
Question about reflectivity and maximization of energy reflected
Replies
1
Views
1K
Quantum Mechanics Boundary conditions
Replies
3
Views
729
How Does Mathematical Theory Explain Multiple Wave Reflections?
Replies
8
Views
2K
Transmission of mechanical wave on two different ropes
Replies
1
Views
3K
Probability of finding a pion in a small volume of pionic hydrogen
Replies
6
Views
2K
Probability to hit a spherical area
Replies
7
Views
1K
Most probable velocity from Maxwell-Boltzmann distribution
Replies
5
Views
194

Hot Threads

Recent Insights

Back
Top