Question
Quantum mechanical techniques for describing this process include the Born approximation and partial wave analysis. For 10 points each:
[10e] Name this process, in which a wave or particle interacts with an object and is forced to deviate from a straight trajectory.
ANSWER: scattering
[10m] In partial wave analysis, a wave is broken down into components with specific values of this quantity, and the scattering for each component is computed independently. The commutator of this quantity's x and y components equals i times h-bar times this quantity's z-component.
ANSWER: angular momentum [accept L, reject “momentum”]
[10h] The optical theorem states that the total cross-section of a scatterer equals 4 pi over the wavevector, all times this expression, evaluated at an angle of zero.
ANSWER: imaginary part of the forward scattering amplitude [or Im[f(0)] (“imaginary part of f of zero”); accept answers that additionally specify “zero-angle” or that the argument of the scattering amplitude is zero; prompt on answers like “the imaginary part of the amplitude”; reject answers that do not specify the imaginary part]
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Summary
| 2023 BHSU @ Berkeley | 03/18/2023 | Y | 1 | 30.00 | 100% | 100% | 100% |
| 2023 BHSU @ Maryland | 03/11/2023 | Y | 2 | 5.00 | 50% | 0% | 0% |
| 2023 BHSU @ Northwestern | 02/25/2023 | Y | 4 | 22.50 | 100% | 75% | 50% |
| 2023 BHSU @ Sheffield | 04/15/2023 | Y | 2 | 10.00 | 50% | 50% | 0% |
| 2023 BHSU @ Waterloo | 04/15/2023 | Y | 3 | 23.33 | 100% | 100% | 33% |
| 2023 BHSU @ Yale | 04/08/2023 | Y | 3 | 16.67 | 100% | 67% | 0% |
Data
| Stanford A | Berkeley A | 10 | 10 | 10 | 30 |