Quantum mechanics - finite square well

[Graham87]

Homework Statement

In which case would you expect the reflection coefficient to largest, for a particle with energy E?

For which of the energy levels would you expect that the tansmission coefficient would be largest?

Relevant Equations

$R=\frac{|A|^2}{|B|^2}$

$T=1-R$

$k=\sqrt{\frac{2m(V_0-E)}{h}}$

$\psi(x)=Ae^{kx}+Be^{-kx}$

In a) I get that T should be largest where V_0 is least wide, because when V_0 is infinitely wide the particle would be fully reflected.
But I don't get how height in b) and energy levels height in c) correlates to T and R.

Is it because of their k? I get the opposite answer from the correct one when I plug k in the R formula.


$R=\frac{|A|^2}{|B|^2}$

$T=1-R$

$k=\sqrt{\frac{2m(V_0-E)}{h}}$

$\psi(x)=Ae^{kx}+Be^{-kx}$


Thanks!

 

[vela]

But I don't get how height in b) and energy levels height in c) correlates to T and R.

Is it because of their k? I get the opposite answer from the correct one when I plug k in the R formula.

You need to define what you mean by $k$. And what formulas are you using for $T$ and $R$?

 

[Graham87]

You need to define what you mean by $k$. And what formulas are you using for $T$ and $R$?

Done!