"

Cookies ussage consent

Our site saves small pieces of text information (cookies) on your device in order to deliver better content and for statistical purposes. You can disable the usage of cookies by changing the settings of your browser. By browsing our site without changing the browser settings you grant us permission to store that information on your device.

I agree, do not show this message again.

Software approaching of quantized planary dynamics of charged bosons

G. MURARIU1,* , A. M. DARIESCU1, C. DARIESCU2

Affiliation

  1. Physics Department, Faculty of Sciences Dunarea de Jos University,111 Domneasca str., Galati, 800201, Romania
  2. Faculty of Physics A. I. Cuza University Iasi, 11 Carol I B., Iasi, 700506, Romania

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 noncommutative 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, we consider two particular cases in order to underlining the reliability of our software tool. For the second case, in our analysis, we employ the Lagrangian due to Nielsen and Olesen well-known as leading, in (2+1)-dimensions, to an infinite discrete set of soliton solutions. After deriving, in static cylindrical coordinates, the Euler-Lagrange coupled field equations, we succeed in obtaining generalized solutions of the sourceless system of equations in a first-order perturbative approach. For particular cases the obtained solutions, fit the results from the literature..

Keywords

the Nielsen-Olesen Lagrangian; the system of Klein-Gordon-Maxwell equations; software computation.

Submitted at: April 7, 2010
Accepted at: April 26, 2010

Citation

G. MURARIU, A. M. DARIESCU, C. DARIESCU, Software approaching of quantized planary dynamics of charged bosons, Journal of Optoelectronics and Advanced Materials Vol. 12, Iss. 4, pp. 927-932 (2010)