Arrive at the time independent Schrodinger equation for a particle.

The time-independent Schrödinger equation is a fundamental equation in quantum mechanics that describes the stationary states of a quantum system, such as an electron in an atom. It is derived from the general Schrödinger equation, which governs the behavior of quantum particles.

The starting point is the time-dependent Schrödinger equation:

iℏ∂∂tΨ(r,t)=H^Ψ(r,t)i \hbar \frac{\partial}{\partial t} \Psi(\mathbf{r}, t) = \hat{H} \Psi(\mathbf{r}, _________ ____ ___ _____ _____ ___ ______ _________.
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