Spacetime rotation-induced Landau quantization

We investigate noninertial and gravitational effects on quantum states in electromagnetic fields and present the analytic solution for energy eigenstates for the Schrödinger equation including noninertial, gravitational, and electromagnetic effects. We find that in addition to the Landau quantization the rotation of spacetime itself leads to the additional quantization, and that the energy levels for an electron are different from those for a proton at the level of gravitational corrections.

Figure 1

Illustration of the polar region of a rotating star. We assume that the magnetic axis is aligned with the rotational axis.