Quantum physics potential barrier R and T

[kato]

Homework Statement

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

Homework Equations

[/B]

The Attempt at a Solution

express k1 and k2 in terms of V/E? [/B]

 

[Matterwave]

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.

 

[kato]

Yes, Matterwave. How can i express k1 and k2 in terms of V and E? i have no idea

Thank you

 

[Matterwave]

Isn't that included in the picture? Right below the expression 6-44?

 

[kato]

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

 

[Matterwave]

Using the k1 and k2 provided in the picture works just fine for me... maybe you can show the steps in your work?

 

[kato]

you are right i use R and divided by sqrt(2mE) and got the result.

Thank you