Quantum physics potential barrier R and T

Click For Summary

Homework Help Overview

The discussion revolves around proving a specific equation related to reflection and transmission coefficients in quantum physics, particularly in the context of a potential barrier. The focus is on expressing certain variables in terms of energy and potential.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to express the wave numbers k1 and k2 in terms of potential V and energy E. There is uncertainty about the interpretation of hints provided in the problem statement.

Discussion Status

The discussion is ongoing with participants exploring different interpretations of the problem. Some have attempted to use provided expressions, while others express confusion about how to derive the necessary relationships. There is no explicit consensus yet.

Contextual Notes

Participants note a hint from the textbook regarding the expressions for k1 and k2, but there is ambiguity about its application. The original poster and others mention difficulties in deriving the expected result from the given information.

kato
Messages
4
Reaction score
0

Homework Statement



Prove (6-44) which expresses the reflection and transmission coefficients in terms of the ratio E/V0.

Homework Equations


[/B]
2cprwur.png


The Attempt at a Solution



express k1 and k2 in terms of V/E? [/B]
 
Physics news on Phys.org
Are you supposed to take the second expression for R for granted and show that with the correct expressions for k1 and k2, you get the R in 6-44?

If so, then yes, just express k1 and k2 in terms of V and E and you should get 6-44 out of it.
 
Yes, Matterwave. How can i express k1 and k2 in terms of V and E? i have no idea

Thank you
 
Isn't that included in the picture? Right below the expression 6-44?
 
If i use those expressions i can't get the expression 6-44, the books says hint: Expresses k1 and k2 in terms of V/E but i don't know what that means
 
Using the k1 and k2 provided in the picture works just fine for me... maybe you can show the steps in your work?
 
you are right i use R and divided by sqrt(2mE) and got the result.

Thank you
 

Similar threads

E<V Potential Step Confusion
  • · Replies 7 ·
Replies
7
Views
3K
Quantum Tunelling Problem with Boundary Conditions
  • · Replies 3 ·
Replies
3
Views
3K
Penetrating the Rectangular Potential Barrier, E < V0
  • · Replies 1 ·
Replies
1
Views
2K
Probability of penetrating a potential barrier
  • · Replies 4 ·
Replies
4
Views
2K
Question about a barrier potential E<V
  • · Replies 1 ·
Replies
1
Views
2K
Rectangular Potential Barrier Boundary Conditions with E=V
  • · Replies 1 ·
Replies
1
Views
2K
Transmission for double delta-potential vs single delta
  • · Replies 2 ·
Replies
2
Views
3K
Quantum tunneling: T(E) graph for a potential barrier diagram
  • · Replies 3 ·
Replies
3
Views
3K
Transmission Coefficient for Quantum Barrier
  • · Replies 1 ·
Replies
1
Views
2K
Infinite Square Well, Potential Barrier and Tunneling
  • · Replies 1 ·
Replies
1
Views
4K