Recent content by coffee1729
-
C
Graduate Green's function of Helmholtz eqn (with time)
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...- coffee1729
- Post #5
- Forum: Beyond the Standard Models
-
C
Graduate Green's function of Helmholtz eqn (with time)
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?- coffee1729
- Post #3
- Forum: Beyond the Standard Models
-
C
Graduate Green's function of Helmholtz eqn (with time)
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...- coffee1729
- Thread
- Function Green's function Helmholtz Time
- Replies: 5
- Forum: Beyond the Standard Models