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This is the Schrodinger eqution: Hψ = Eψ. Essentially, to compute this, you operate a change on ψ to yield Energy ψ. H stands for the Hamiltonian double derivative, E stands for the energy of the electron, and Ψ stands for the wave function representing the electron. The second derivative explains how Ψ appears on both sides of the equal sign (ex. the second derivative of sin is -sin: sin --> cos --> -sin). The Hamiltonian operator operates the second derivative on Ψ, or the wave function, and it results in obtaining the wave function (Ψ again, or sin again) on the right hand side of the equation.
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