- #1
condorino
- 17
- 0
Hi all,
I'm considering a problem of a bunch of particles (say electrons) arriving on a plate. If the plate is orthogonal to the direction of motion of the particles their distribution (on the plate) is a gaussian distribution centered in a point (x,y) of the plate with standard deviation "sigma".
Using cylindrical coordinates (r,phi) and taking as (0,0) the center of the distribution:
[itex]\frac{1}{\sqrt{2\pi}\sigma}\cdot exp(\frac{-(r)^{2}}{2\sigma^{2}} )[/itex]
Now my question is, what happen to the distribution if the plate is tilted of an angle theta?
I expect that the cylindrical symmetry is broken, but cannot explain it in "numbers"...
Does anybody have useful ideas?
Thank you
C.
I'm considering a problem of a bunch of particles (say electrons) arriving on a plate. If the plate is orthogonal to the direction of motion of the particles their distribution (on the plate) is a gaussian distribution centered in a point (x,y) of the plate with standard deviation "sigma".
Using cylindrical coordinates (r,phi) and taking as (0,0) the center of the distribution:
[itex]\frac{1}{\sqrt{2\pi}\sigma}\cdot exp(\frac{-(r)^{2}}{2\sigma^{2}} )[/itex]
Now my question is, what happen to the distribution if the plate is tilted of an angle theta?
I expect that the cylindrical symmetry is broken, but cannot explain it in "numbers"...
Does anybody have useful ideas?
Thank you
C.