Question
A product named for this man assumes that the wavefunction of a quantum system is the product of its individual wavefunctions. For 10 points each:
[10m] Name this English physicist. He is the first namesake of an approximation which writes the wavefunction of a fermion as a single Slater determinant.
ANSWER: Douglas Hartree [or Hartree-Fock approximation; or Hartree product]
[10e] The nonlinear term of the Hartree equation comes from convolving with a negative power of the magnitude of this quantity. Heisenberg's uncertainty principle prevents knowing this quantity and momentum with arbitrary precision.
ANSWER: position
[10h] Convolving with a delta function in the Hartree equation yields the single-particle form of this nonlinear Schrödinger equation. This equation describes the ground state of identical bosons under the Hartree-Fock approximation, so can be used to model Bose-Einstein condensates.
ANSWER: Gross-Pitaevskii equation
<Andrew Rout , Science - Physics - Quantum/CMP>
Summary
| 2023 NASAT | 06/17/2023 | Y | 8 | 12.50 | 100% | 13% | 13% |
Data
| New Jersey B | Asia A | 0 | 10 | 0 | 10 |
| California | Asia B | 0 | 10 | 0 | 10 |
| Illinois Blue | Illinois Orange | 0 | 10 | 10 | 20 |
| Maryland Red | Kentucky A | 10 | 10 | 0 | 20 |
| New Jersey A | Kentucky B | 0 | 10 | 0 | 10 |
| Ohio | Illinois White | 0 | 10 | 0 | 10 |
| Pennsylvania | Arkansas | 0 | 10 | 0 | 10 |
| Virginia | Maryland Gold | 0 | 10 | 0 | 10 |