Formulate the Schrödinger wave equation for the hydrogen atom and outline the stages involved in solving it.

The Schrödinger wave equation for the hydrogen atom can be derived from the general time-independent Schrödinger equation:

H^Ψ=EΨ\hat{H} \Psi = E \Psi

where H^\hat{H} is the Hamiltonian operator, Ψ\Psi is the wavefunction, and EE is the energy eigenvalue. For a hydrogen atom, the Hamiltonian includes both the kinetic energy of the electron and the potential energy due to ________ _______ ________ _____ ________.
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