Question

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
<Leo Law, Physics>

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Summary

2023 Penn Bowl @ Waterloo10/28/2023Y412.5075%50%0%
2023 Penn Bowl @ FSU10/28/2023Y215.00100%50%0%
2023 Penn Bowl (Harvard)10/21/2023Y313.3367%67%0%
2023 Penn Bowl (Mainsite)10/21/2023Y712.8671%43%14%
2023 Penn Bowl (Norcal)10/28/2023Y220.00100%100%0%
2023 Penn Bowl (South Central)10/28/2023Y310.0067%33%0%
2023 Penn Bowl (UK)10/28/2023Y512.00100%20%0%
2023 Penn Bowl @ UNC10/28/2023Y313.33100%33%0%

Data

Duke AUNC C100010
UNC BUSC A100010
UNC AUSC B1010020