Tunnelling Probability
P_t = exp(-2·L·sqrt(2·m·(U - E))/ħ)
What it says
A particle can cross a barrier it has too little energy to climb; the chance falls off sharply with width.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
P_t | Transmission probability (dimensionless) | 1 |
L | Barrier width (m) | L |
m | Particle mass (kg) | M |
U | Barrier height (J) | M L^2 T^-2 |
E | Particle energy (J) | M L^2 T^-2 |
Work it out
Enter what you know. No account needed.
Fill in all but one: L, m, U, E, P_t are all empty.
Filed under Quantum · derive through it in the explorer