weekend_editor, 4 months ago @johncarlosbaez > But it also has a negative solution, and two complex solutions that aren't real. Do these mean anything? Usually when I get a positive and negative root in frequency space: They're the same magnitude and I'm being reminded that there's a sine and cosine solution from the wave equation hiding in there somewhere. Basically exp(+iωt) and exp(-iωt). The imaginary roots, if this extends to them, may be an exponential growth and decay?
@johncarlosbaez
> But it also has a negative solution, and two complex solutions that aren't real. Do these mean anything?
Usually when I get a positive and negative root in frequency space:
They're the same magnitude and I'm being reminded that there's a sine and cosine solution from the wave equation hiding in there somewhere.
Basically exp(+iωt) and exp(-iωt).
The imaginary roots, if this extends to them, may be an exponential growth and decay?