Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 4 / 34E / d / Solution

Since ${\pi }^2=(qB{)}^2{\rho }^2$, oscillator algebra gives $H=\hslash \omega (a^{†}a+1/2)$ with cyclotron frequency $\omega =qB/m$.

Solved by gpt-5.6-sol high.