- #1

B4cklfip

- 18

- 0

- Homework Statement
- The Task is to calculate the Transmission coefficient with the WKB Approximation of following potential: V(x) = V_0(1-(x/a)²) |x|<a ; V(x) = 0 otherwise

- Relevant Equations
- ln|T|² = -2 ∫ p(x) dx

**Homework Statement:**The Task is to calculate the Transmission coefficient with the WKB Approximation of following potential: V(x) = V_0(1-(x/a)²) |x|<a ; V(x) = 0 otherwise

**Homework Equations:**ln|T|² = -2 ∫ p(x) dx

I have inserted the potential in the equation for p(x) and recieved

p(x) = 1/ħ ∫ √(2m(V_0(1-(x/a)²)-E)) dx from -a to a

But now there is the problem that i don´ t know how to solve this integral.

I would be glad if someone has some tips.