Analytical approach for planary dynamics in orthogonal magneto – electrostatic fields
Pages 105-110
Gabriel Murariu, Lucian Georgescu, Mirela Voiculescu, Gheorghe Puscasu
Abstract
In the last years, the study of quantum Hall effect (QHE) has known a consistent expansion. Later, the theory has been extended to a non-commutative background on which the quantum Hall fluid evolves and a matrix model was proposed for describing the electrons moving in the lowest Landau level of the magnetic field. Almost immediately, topics like the non-commutative QHE, or QHE in higher dimensions, in the context of classical and quantum branes or of string theories, have become main objectives of investigations.
In a recent series of papers, for the first quantization level, were studied planary dynamics of a charged scalar evolving in static orthogonal magnetic and electric fields. For a complete discussion, we succeed in building an entire software package in order to reach the solutions for the Euler-Lagrange coupled field equations, in a first-order perturbative approach. Working in a relativistic draw near, for exemplification, were evaluated the solutions of the fields’ system equations. These solutions generalize the results from the literature. It was recovered the results from the literature, underlining the reliability of our software tool.