- #1
sayebms
- 33
- 0
I can't think of a situation where we can utilize greens function without the presence of a point charge. let's consider the following equation:
[itex] \Phi=\frac{1}{4\pi \epsilon} \int dv \rho(x')G_{N} (x,x')+ \frac{1}{4\pi} \int da F_{s}(\rho , \phi) G_{N} + <\phi>_S [/itex]
Here we see that a volume with no charge distribution could still have some potential (due to external fields) and we have green function contribution.
The concept of green function and utilizing it to find ANY potential is very vague to me because we originally found green function using the concept of point charge, and I don't get how it would help us in finding any potential (even if there are no point charges). Any explanation is appreciated. Thanks
[itex] \Phi=\frac{1}{4\pi \epsilon} \int dv \rho(x')G_{N} (x,x')+ \frac{1}{4\pi} \int da F_{s}(\rho , \phi) G_{N} + <\phi>_S [/itex]
Here we see that a volume with no charge distribution could still have some potential (due to external fields) and we have green function contribution.
The concept of green function and utilizing it to find ANY potential is very vague to me because we originally found green function using the concept of point charge, and I don't get how it would help us in finding any potential (even if there are no point charges). Any explanation is appreciated. Thanks