Question
These two operators are multiplied by hyperbolic trig functions in the Bogoliubov transformation. For 10 points each:
[10m] Identify this pair of operators, denoted “a” and “a-dagger”, which are used to increase or lower the quanta of energy of a state. These operators were introduced to solve the quantum harmonic oscillator.
ANSWER: ladder operators [accept creation and annihilation operators]
[10h] In the occupation number representation, the ladder operators add or remove particles for multi-particle states in this space, which is a direct sum of tensor products of single-particle Hilbert spaces.
ANSWER: Fock space
[10e] The potential energy of the classical harmonic oscillator is given by this law, which states it is equal to one-half times spring constant times displacement squared.
ANSWER: Hooke’s law
<Leo Law, Physics>
Summary
| 2023 Penn Bowl @ Waterloo | 10/28/2023 | Y | 4 | 20.00 | 100% | 75% | 25% |
| 2023 Penn Bowl @ FSU | 10/28/2023 | Y | 2 | 15.00 | 100% | 50% | 0% |
| 2023 Penn Bowl (Norcal) | 10/28/2023 | Y | 2 | 30.00 | 100% | 100% | 100% |
| 2023 Penn Bowl (South Central) | 10/28/2023 | Y | 3 | 13.33 | 67% | 67% | 0% |
| 2023 Penn Bowl (UK) | 10/28/2023 | Y | 5 | 22.00 | 100% | 80% | 40% |
Data
| Stanford | Berkeley A | 10 | 10 | 10 | 30 |
| Berkeley C | Berkeley B | 10 | 10 | 10 | 30 |