Timeline for Best method for numerically solving Schrodinger equation for quantum tunneling w/ arbitrary potential
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 21 at 0:17 | vote | accept | perchlorious | ||
| Jun 13 at 13:04 | answer | added | E. Anikin | timeline score: 1 | |
| Jun 12 at 23:56 | comment | added | perchlorious | @E.Anikin How would I set up boundary conditions for TISE numerically? I have a solution for this, but get inconsistent results because I am just trying to set $\psi = 0$ at the edges, but this makes it inherently a bound eigenvalue problem, which I am not looking for. The Eigenvalue shoudl be the kinetic energy of the incoming particle. | |
| Jun 12 at 11:33 | comment | added | E. Anikin | I can't recommend the link, but instead of considering TDSE, I would rather solve stationary Schroedinger equation with BC representing a plane wave. Tunneling probability can be then extracted from the transmission coefficient. This will at least solve the problem with the dependence on the wavepacket form. | |
| Jun 12 at 5:50 | comment | added | Guliano | You might want to look at Numerov's method. I remember from my computational physics days this is especially useful for a Schrödinger-type differential equation. I once used it for scattering off an inverted Morse potential, works very well. | |
| Jun 12 at 2:18 | history | asked | perchlorious | CC BY-SA 4.0 |