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: Represents the total energy (kinetic + potential) of the system. : The energy eigenvalue associated with the state : The wave function, where

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The hydrogen atom is the only realistic chemical system for which the Schrödinger equation can be solved exactly. : Represents the total energy (kinetic + potential)

ψ(1,2)=−ψ(2,1)psi open paren 1 comma 2 close paren equals negative psi open paren 2 comma 1 close paren Finding High-Quality Quantum Chemistry Lecture Notes PDF The

States that any guessed "trial" wavefunction will always yield an energy higher than or equal to the true ground-state energy. This allows scientists to systematically optimize wavefunctions.

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