Electronic states and dielectric response of a two-dimensional electron gas in a strong magnetic field and an intense laser field

We have developed new theoretical and numerical methods to study electronic properties and dielectric response of an electron gas strongly coupled to a terahertz laser field and under a quantising magnetic field. By construct ing successive unitary transformations, we have solved the time-dependent S chrodinger equation and obtained analytical solutions of the electronic wav efunction. These wavefunctions are then used to construct to electronic Gre en's function, density-density correlation function and the dielectric resp onse function in time and spectral representations. Our results can be the basis for studying several other important quantities related to the experi ments such as optical absorption, spectrum of magneto-polarizations and cyc lotron resonances in strongly coupled electron-photon systems. Numerical re sults of energy loss rate of a heavy particle based on this dielectric func tion are presented. (C) 2001 Elsevier Science B.V. All rights reserved.