Porbability Density?

  • #1

Main Question or Discussion Point

In quantum mechanics, given ψ, we calculate the probability density in a given space by (mod[ψ]^2)*dx*dy*dz (as given in any standard textbook). But my suggetion is that it should be (mod[ψ]^2)*dx*dy*dz*dt where dt is the differential time element. Its seems to me to be more fundamental. Then why dont we do that?
Thanks
Curious undergrad!
 

Answers and Replies

  • #2
mathman
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The probability density is at a given instant, not per unit time.
 
  • #3
HallsofIvy
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Also we do NOT use [itex]\Psi[/itex] to calculate the probability density. [itex]\Psi[/itex] is the probability density. The integral, over a space interval, gives the probability that the object is in that space at the given instant.
 
  • #4
Matterwave
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@HallsofIvy I think you mean the absolute square of the wave function is the probability density.
 
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