We may generalize the semi-classical Bohr-Sommerfcld relation f.. P. dr = (n + 1/2) h, (where the integral is along a closed orbit) to apply to the case where electromagnetic fiekl is present by replacing P with p - eA/c, where e is the charge of the particle. Usc this and the cquation of motion for the linear nioinentuin p to derive a quantization condition on the nmagnetic flux of a seni-classical eloctron which is in a magnetic field B in an arbitrary orbit. For clectrous in solids this condition caun be restated in terms of the size S of the orbit in k-spacc. Obtain the quantization coudition on S in terms of B (Ignore spiu effects).

We may generalize the semi-classical Bohr-Sommerfcld relation f.. P. dr = (n + 1/2) h, (where the integral is along a closed orbit) to apply to the case where electromagnetic fiekl is present by replacing P with p - eA/c, where e is the charge of the particle. Usc this and the cquation of motion for the linear nioinentuin p to derive a quantization condition on the nmagnetic flux of a seni-classical eloctron which is in a magnetic field B in an arbitrary orbit. For clectrous in solids this condition caun be restated in terms of the size S of the orbit in k-spacc. Obtain the quantization coudition on S in terms of B (Ignore spiu effects).