To analyze the impact of the infrared radiation emitted or absorbed on the quantum transport, the rectangular potential barrier is considered as a model of a nanostructure. The analysis is limited to the first quantization level in which only the electron is considered as a quantum particle but the electromagnetic field is classical and described by the vector potential. This model is used if the interaction of infrared radiation with semiconductor structures is studied and it is acceptable even for large electromagnetic fields present in lasers. The solution of the time dependent Schroedinger
equation with the time-periodical electrostatic potential is carried out using the Floquet theorem. The coupling of electromagnetic radiation with free electron gas is included in the single electron Hamiltonian by the vector potential. The Kramers-Henneberger unitary transformation enables include the coupling as a time-dependent dressing term in the electrostatic potential. In the high frequency limit it is sufficient to consider only the time-averaged potential. The transmittance of the potential barrier is found using both methods and the results are compared; the effect of the electromagnetic field dressing is observable.
M. Horák, M. Horák,
"Coupling of quantum transport with infared radiation", Proc. SPIE 6180, Photonics, Devices, and Systems III, 61800P (18 April 2006); doi: 10.1117/12.675664; https://doi.org/10.1117/12.675664