- #1
binbagsss
- 1,291
- 12
Okay so my book says (the context is electron hydrogen energy levels) the probability of finding the electron within dv=dv(r,∅,θ) is :
ψψ*r^2sinθdθd∅ [1]
where ψ is the wavefunction
And to find within dr of r is : ∫∫ψψ*r^2sinθdrdθd∅,[2] where the inner integral ranges over 0 to PI and the outter from 0 to 2PI
I don't really understand this. Why doesn't the first integral [1] for dv not require dr? As isn't the volume element given by r^2sinθdrdθd∅?
I also don't really understand why we don't need to include some integral limits corresponding to dr in [2]
If anyone can help explain things this would be greatly appreciated . Ta in advance !
ψψ*r^2sinθdθd∅ [1]
where ψ is the wavefunction
And to find within dr of r is : ∫∫ψψ*r^2sinθdrdθd∅,[2] where the inner integral ranges over 0 to PI and the outter from 0 to 2PI
I don't really understand this. Why doesn't the first integral [1] for dv not require dr? As isn't the volume element given by r^2sinθdrdθd∅?
I also don't really understand why we don't need to include some integral limits corresponding to dr in [2]
If anyone can help explain things this would be greatly appreciated . Ta in advance !