In this paper the quasi-energies and the reduced Floquet vectors corresponding to a particle in 2-dimensions interacting with a time-dependent, monochromatic, linearly polarized electro-magnetic field, and in the presence of a weak, static, spatial-periodic field, are calculated. The later is treated using the stationary perturbation theory in the extended Hilbert space adapted for the eigenvalue equation of the Floquet Hamiltonian. The results have similarities to those of the quasi-free electron model.
Periodic multilayer structures of poly(p-phenylenevinylene)s have been fabricated by a self-assembly method on quartz or indium-tin-oxide-coated glass substrates. Alternating multilayers consisting of poly(1,4-(2-(5-carboxypentyloxy)-5-methoxyphenylene)vinylene) and poly(p-phenylenevinylene) were adsorbed onto positively charged substrates. Periodic multilayers with a microdisk geometry have also been fabricated on quartz or indium-tin-oxide-coated glass substrates. Their optical properties have been studied, and a yellow electroluminescence from a light-emitting device with a microdisk geometry has been observed.
A general fermion system interacting with a time-periodic external field is discussed in the second quantization formalism transposed in the Fock-Floquet space. The method simulates the evolution of the system with the help of an auxiliary parameter which is analog to the time and defines the vectors associated to the states of the system, such that the matrix elements in the Hilbert space have a physical correspondence. Assuming that only the principal quasi-energies have physical relevance, the ground state of the free system is constructed in the occupation-numbers representation and an analog of Wick's theorem is derived. The perturbation series of the Green's functions is subsequently obtained, and the linear response of a given observable is expressed in terms of the correlation functions. The results have formal similarities to those of the standard theory of the many-particle conservative systems.
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