Question
These phenomena correspond to poles of the S-matrix, and appear as peaks in the scattering cross-section. For 10 points each:
[10e] Name these metastable, short-lived quantum states that form when one particle scatters off another. Classically, this phenomenon occurs when an oscillating system grows in amplitude when driven at its natural frequency.
ANSWER: resonances
[10m] Resonances have complex values for this quantity, where the imaginary part measures the state's lifetime. These quantities are the eigenvalues of the operator H that appears in Schrödinger's equation.
ANSWER: energy [or total energy; accept energy levels; reject "kinetic energy" or "potential energy"]
[10h] This form of quantum resonance occurs when the energy of a scattering atom is close to the binding energy of a pair of atoms, allowing the free atom to be slowed to a halt. It can be exploited to create Bose-Einstein condensates.
ANSWER: Feshbach resonance
<VD, Physics>
Summary
| 2024 ARCADIA at UC Berkeley | 2024-12-06 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2024 ARCADIA at Waterloo | 2024-11-09 | Y | 1 | 20.00 | 100% | 100% | 0% |
| 2024 ARCADIA at GT | 2024-12-06 | Y | 3 | 3.33 | 33% | 0% | 0% |
| 2024 ARCADIA at Illinois | 2024-11-09 | Y | 1 | 20.00 | 100% | 100% | 0% |
| 2024 ARCADIA at Warwick | 2024-12-06 | Y | 4 | 10.00 | 75% | 25% | 0% |
Data
| Georgia Tech C | Georgia Tech B | 10 | 0 | 0 | 10 |
| Lambert | Innovation Academy B | 0 | 0 | 0 | 0 |
| Milton | Georgia Tech D | 0 | 0 | 0 | 0 |