Oh, and about the greens function method: > Btw, Øyvind, do you know how to use green functions to calculate the > ground state of this system (just energy would be enough): > > http://certik.github.com/theoretical-physics/book/src/qm-examples.html > > I have calculated that analytically, but I would be curious to apply > green functions to that (and ideally sympy through your patches :), to > see if I get the same result. > > Ondrej
Couldn't you write the Green function as G(x,x') = sum_i f_i(x)f_i(x') */E_i where F(x) and E_i are eigenfunctions of the homogenous system (without the interaction term, V(x)=0). Then you can obtain the solution by solving the integral equation: F (x) = int_x' G(x,x') V(x') F(x') I'm not sure if it helps you, but thats what I would suggest... Øyvind --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy-patches" group. To post to this group, send email to sympy-patches@googlegroups.com To unsubscribe from this group, send email to sympy-patches+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sympy-patches?hl=en -~----------~----~----~----~------~----~------~--~---
