Using a space-time dependent canonical transformation of the second quantized Schrödinger field operator for a many-electron system and the self-consistent linear-response approximation, a linear integrodifferential equation for electromagnetic waves propagating in a quasi-two-dimensional electron gas under a static uniform magnetic field and intense laser radiation is derived. From the inhomogeneous terms in the derived equation, possible higher harmonic generation due to the electrons is predicted.

• Received 5 October 2006

DOI:https://doi.org/10.1103/PhysRevB.75.033306