- #1
B4cklfip
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- 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.
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.