Hi folks, I just want to check if I understand this. We start the calculation using the electric potential energy, which is a continuous function that for every value of the distance r, tells you the value of the potential energy "spent" to get the system to that state. We use this function in the Hamiltonian, together with the kinetic energy term, and integrating the Schrodinger differential equation we conclude that the electron is only able to have certan discrete energy values, and for everyone of those eigenvalues, there is a corresponding "eigenstate", which is a probability distribution. But, How is that possible? I mean, the electric potential energy function we used as an input gives for every value of r, a value of the energy. But we conclude after integrating the equations that there is a definite energy, associated with an eigenstate, in this particular eigenstate the electron could have different positions around the nucleus. (I have seen this distributions in several websites). Can somebody explain this?