I guess this is just a maths problem about algebra. I'm learning to solve Schrodinger equation numerically, and right now I'm just dealing with the simplest examples like harmonic potential, square well, etc. The problem is that sometimes my program gives some strange results and I suspect it is deal to the extremely small values of the constants involved. So let's say I set hbar^2/m = 1, express the length scale in terms of Bohr's radius (5.3e-11 becomes 1) and express all the energy (E and V) in terms of eV. I need to first find the eigenvalue E that satisfies the equation, then I can use the value of E to find the initial conditions which enable me to find solution everywhere. But how do I convert E and all the values of wave function at different points back to some sensible units? I just do not know what the units of the results I get mean.(adsbygoogle = window.adsbygoogle || []).push({});

thanks

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Scaling when solving Schrodinger equation numerically

Tags:

Loading...

Similar Threads - Scaling solving Schrodinger | Date |
---|---|

A Solving an ODE Eigenvalue Problem via the Ritz method | Wednesday at 10:17 AM |

Scale Analysis | Mar 16, 2014 |

Scaling Helmholtz equation | Apr 16, 2013 |

Scaling Problem in Diffusion Equation | Feb 21, 2013 |

Scaling parameters in central difference solution | Feb 5, 2011 |

**Physics Forums - The Fusion of Science and Community**