Packet G: Bonus 5
A formulation developed by this physicist inspired the phase space formulation of quantum mechanics. For 10 points each:
[10m] Name this physicist whose principal function, S, is the action. This physicist’s formulation of classical mechanics is expressed in terms of generalized momenta.
ANSWER: William Rowan Hamilton [accept Hamilton’s principal function; accept Hamiltonian mechanics]
[10e] The negative derivative of Hamilton’s principal function with respect to this quantity gives the Hamiltonian. The derivative of position with respect to this quantity gives velocity.
ANSWER: time
[10h] For a system of N particles, this number times N gives the dimensionality of Hamiltonian phase space. This number is the number of independent components of the Cauchy (“ko-SHEE”) stress tensor.
ANSWER: six
<GC, Physics> | Packet G - McMaster A, Notre Dame C, Rutgers A, NYU A
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 79 | 13.80 | 92% | 28% | 18% |
Conversion
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| California (North) | Main Site | ✓ | 3 | 23.33 | 100% | 33% | 100% |
| California (South) | Main Site | ✓ | 4 | 15.00 | 100% | 50% | 0% |
| Canada | Main Site | ✓ | 11 | 11.82 | 73% | 27% | 18% |
| Florida | Main Site | ✓ | 3 | 10.00 | 67% | 0% | 33% |
| Great Lakes | Main Site | ✓ | 5 | 20.00 | 100% | 60% | 40% |
| Lower Mid-Atlantic | Main Site | ✓ | 9 | 11.11 | 89% | 22% | 0% |
| Midwest | Main Site | ✓ | 8 | 12.50 | 100% | 25% | 0% |
| Northeast | Main Site | ✓ | 6 | 16.67 | 100% | 50% | 17% |
| Overflow | Main Site | ✓ | 4 | 12.50 | 100% | 0% | 25% |
| South Central | Main Site | ✓ | 2 | 10.00 | 100% | 0% | 0% |
| Southeast | Main Site | ✓ | 8 | 15.00 | 88% | 38% | 25% |
| UK | Main Site | ✓ | 12 | 14.17 | 100% | 25% | 17% |
| Upstate NY | Main Site | ✓ | 4 | 10.00 | 100% | 0% | 0% |