Question

How can one find the regiin of space where electroni can be found by using Schrodinger wave equation?

Answer 1

The Schrödinger equation for the hydrogen atom and hydrogen-like cations
So what does it look like? The Schrödinger equation for single-electron Coulomb systems in spherical coordinates is

This type of equation is an example of a partial differential equation, which is no simple task to solve. However, solving it gives both the allowed values of the angular momentum discussed above andthe allowed energies , which agree with the simpler Bohr model. Thus, we do not need to assume anything except the validity of the Schrödinger equation, and the allowed values of energy and angular momentum, together with the corresponding wave functions, all emerge from the solution.

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