- #1

jonjacson

- 453

- 38

When you have a differential equation and the unknown function is complex, like in the Schrodinger equation, What methods should you use to solve it?

I mean, there is a theory of complex functions, Laurent series, Cauchy integrals and so on, I guess if it would be possible to integrate directly you could solve the equation using these methods but if you can't integrate directly, Do you just separate the equation in real and imaginary parts and then solve them separately?

If you know any book explaining how to solve differential equations that have complex unkown functions would be great!