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## Main Question or Discussion Point

The wave function of an electron in ground state hydrogen atom is non-zero at points far away from the nucleus. Interpreted as the probability of finding the electron, this is telling us that there is a finite probability of finding an electron far away from the nucleus even if it is at ground state.

But if an electron is really found at a point where it electrical potential energy is greater than the ground state energy, would it be a violation of energy conservation (unless it then possesses negative kinetic energy)?

But if an electron is really found at a point where it electrical potential energy is greater than the ground state energy, would it be a violation of energy conservation (unless it then possesses negative kinetic energy)?