About this document
Probability in Spherical Coordinates by IENCS is a document available to read on EtoBox.
The document discusses a probability density function ψ(r) = Ae-αr^2 that describes the probability of finding a particle within a spherical shell at a distance r from the origin. It shows that considering this function in spherical coordinates, with the volume element r^2 sinθ dr dθ dφ, leads to the probability being expressed as an integral of 4πA^2r^2e^-2αr^2 dr. Taking the derivative of this probability density shows that it peaks at r = 1/2α, rather than at r = 0 as the simple function ψ(r) would sugge
- Author
- IENCS
- Language
- EN