Packet 1: Bonus 10
At the Solvay conference, Einstein showed that energy was a quantity described by this adjective in response to the problem of the Rayleigh–Lorentz pendulum. For 10 points each:
[10m] What adjective names invariants that remain approximately constant under a slow change?
ANSWER: adiabatic [accept adiabatic invariants]
[10e] The adiabatic theorem implies that variables named for their resemblance to this quantity are adiabatic invariants. This quantity is the time-integral of the Lagrangian.
ANSWER: action [accept action variables]
[10h] While action variables are adiabatic invariants, the change in an angle variable has contributions from this effect and a frequency-dependent term. This geometric change in phase is the classical analogue of the Berry phase.
ANSWER: Hannay angle
<Editors, Physics> | U. Finals 1 (Editors 11)
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 1 | 20.00 | 100% | 100% | 0% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Stanford A | Chicago A | 10 | 10 | 0 | 20 | ME |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| Main Site | 2026-04-17 | ✓ | 1 | 20.00 | 100% | 100% | 0% |