What is the function of a collapsed wave?

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SUMMARY

The function of a "collapsed" wave in quantum mechanics is defined by the Dirac delta function, which describes the probability distribution of particles in a dual slit experiment. When the wave function collapses, it results in distinct patterns, such as two lines on a detection screen, which are influenced by factors like wavelength, slit distance, and screen distance. Experimental evidence supports the behavior of particles as they transition from wave-like to particle-like states, confirming the theoretical framework surrounding wave function collapse.

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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?
 
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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
 
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The function is called the dirac delta function.
 

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