Sobre efeitos quânticos da interação de um dipolo elétrico induzido com campos externos

Abstract

We analyze the appearance of bound states in a Landau-type system for a neutral particle (atom/molecule) with induced electric dipole momentum, in the presence of a configuration of crossed electric and magnetic fields of the following scalars potential: one which is proportional to the radial distance and the other which is a Coulomb-type. Next, we consider this system under rotational effects and we determined the allowed energy levels. In the search for analytical solutions for the Schro¨dinger equation we show that the energy states of a Landau system for an atom with an induced electric dipole moment subject to potential confiners depend on the parameters that characterize both electric and magnetic fields, besides they also depend on the potential and on the numbers quantum {n,l} of the system. Moreover, the levels found in this investigation are different from the Landau levels presented in reference: C. Furtado, J. R. Nascimento, e L. R. Ribeiro (2006) [1]. And for the case where we treat the system in a rotating frame, we find the spectrum with the characterizing parameters for the lectromagnetic field, with the quantum numbers {n,l} besides its uniform angular speed of rotation. Furthermore, we observe that it is possible to recover the quantization of Landau subject to the potential confiners if we take the limit at when the angular velocity disappears.