This equation is exactly solvable for the hydrogen atom but not for multiple-electrons atoms, thus computational methods are needed. For 10 points each:
[10e] Name this equation, which lends its name to the company that developed the Jaguar software package that is used to solve this fundamental equation of quantum mechanics.
ANSWER: Schrödinger equation
[10m] This is the methodology behind VASP. The first Hohenberg-Kohn theorem states that properties of the system are determined by the namesake quantity of this method that probes the electronic structure of many-body systems.
ANSWER: density functional theory [accept DFT]
[10h] Orbital-free density functional theory is closely related to this semi-classical model, developed shortly after the introduction of the Schrödinger equation. This model is only correct in the limit of infinite nuclear charge.
ANSWER: Thomas-Fermi model
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