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I have the solution of the Schrödinger equation for the ground state of the hydrogen electron. The solution ist:

u100(r)=sqrt(1/(pi*a^3))*exp(-r/a)

If I want to calculate some probabilty values I do this with:

P(r)=4*pi*r^2*|u100|^2

If I set r=10^-13 I get a value that is greater than 1, I get P(10^-13)=10^34.

This cannot be. Whats wrong with my probability formula?

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# Schrödinger equation: P(r)>1 ?

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