- #1
Kruger
- 214
- 0
Schrödinger equation: P(r)>1 ?
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?
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?