Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2017 / S18 / 3 / 5

Separate $x,z$ plane waves in the spinless equation. The transverse operator is $-{\hslash }^2{d}^2/d{y}^2+(p_x+eBy/c{)}^2$, the same shifted oscillator without a Pauli term. Its eigenvalues are $|e|\hslash |B|(2n+1)/c$. Thuswhich is the printed formula for $B>0$. The absence of the spin splitting is the substantive difference from the Dirac result.