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>
Summary
| 2023 Penn Bowl @ Waterloo | 10/28/2023 | Y | 4 | 12.50 | 75% | 50% | 0% |
| 2023 Penn Bowl @ FSU | 10/28/2023 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2023 Penn Bowl (Harvard) | 10/21/2023 | Y | 3 | 13.33 | 67% | 67% | 0% |
| 2023 Penn Bowl (Mainsite) | 10/21/2023 | Y | 7 | 12.86 | 71% | 43% | 14% |
| 2023 Penn Bowl (Norcal) | 10/28/2023 | Y | 2 | 20.00 | 100% | 100% | 0% |
| 2023 Penn Bowl (South Central) | 10/28/2023 | Y | 3 | 10.00 | 67% | 33% | 0% |
| 2023 Penn Bowl (UK) | 10/28/2023 | Y | 5 | 12.00 | 100% | 20% | 0% |
| 2023 Penn Bowl @ UNC | 10/28/2023 | Y | 3 | 13.33 | 100% | 33% | 0% |
Data
| Columbia B | Columbia A | 10 | 10 | 0 | 20 |
| Cornell B | UMD A | 10 | 10 | 0 | 20 |
| John Jay A | JHU B | 10 | 10 | 10 | 30 |
| NYU | UMD B | 0 | 0 | 0 | 0 |
| Pitt | JHU A | 0 | 0 | 0 | 0 |
| RIT | Swarthmore | 10 | 0 | 0 | 10 |
| Cornell A | Rutgers | 10 | 0 | 0 | 10 |