(no title)
splittingTimes | 1 year ago
You would start from a Lagrangian formulation of the classical interaction, let's say Light-Matter, that would yield for example the Schrodinger and Maxwell equations. Following a Legendre transformation (there a post on the HN front page the other day on that) you end up with a so-called Hamilton operator from which you can derive a (huge) set of coupled differential equations which you then solve.
Here, if you wanted to increase temporal accuracy, it typically leads simply to longer calculation times.
We also tried a different approach using Feynman's path integrals and boy did that explode numerically. We optimized our programs to the point where everything was reduced to work on bits, but to no avail it was numerically unstable and the memory consumption when through the roof the longer or more accurate you wanted to make the simulation.
So, I would argue that NO, Feynman does not make it easier per se.
However, other groups made it work somehow.
As a starting point you can check that paper and it's references from the introduction section.
No comments yet.