Thank you for your post!
I think I tried this approach before - isn't this is very similar to taking the FT of the time domain? I ended up with the Helmholtz equation in 2-d again (this time with the term m^2 - w^2). The Green's function for this is the Hankel function, however, when reverting...
Thank you for your post - there is a section on solving for equations of the form H + (d/dt)^2 where H is self-adjoint, however, I don't think the spatial part here + m^2 is? Or do you mean another section in the book?
Hi,
I have been trying to find the (causal) Green's function of
\frac{\partial^2 \phi}{\partial t^2} + \frac{\partial^2 \phi}{\partial x^2} + \frac{\partial^2 \phi}{\partial y^2} + m^2 \phi = 0.
What would be a good way to approach this? I have initial values for t=0, so I use...