What is the function of a collapsed wave?

[khkwang]

What is the function of a "collapsed" wave?

I know from observing the particle in a dual slit experiment the wave function collapses and the results becomes something like 2 lines, but is there a function that defines the two lines?

Does it just collapse to a function of how the particles would act if they were treated as particles rather than wave-particles? If so, was it experimentally proven, or just assumed?

 

[Phrak]

The wave function 'collapse' of a single particle is a single spot on the screen or film. To see the entire pattern you need more than one photon.

Have you seen an interference pattern from two slits? There is a specific function that depends on wavelength, the distance between the two slits, and the distance to the screen. For a more comprehensive treatment, the width of the slits is also a factor such displayed in the image below.

[PLAIN]http://www.colorado.edu/physics/phys2020/phys2020_f98/lab_manual/Lab5/Image2109.gif

 

[LostConjugate]

The function is called the dirac delta function.