Modelo Hookeano de un Biexcitón en puntos cuánticos laterales, corrección de primer orden y cálculo del espectro.

Abstract

The objective was to study the Hookeano model of a biexciton in coupled quantum dots laterally, through a transformation matrix. These solutions include the resolution of the Schrodinger equation for a two-electron system and two holes with their respective charges and effective masses. Since the system requires a Hamiltonian this must be separated, and then reduced through the Jacobi coordinates of the relative motion and centers of mass of the four particles. Making use of the analytical solutions for the Hamiltonian of given particles will obtain the zero-order energies without taking into account the coupled terms that will be eliminated with the respective conditions that were taken. The transformations and the results of these procedures are executed directly with Wolfram Mathematica software based on the quantum aspects in the excitonic complex (biexciton). Finally as a result we analyzed the graphics obtained in order to establish a direct relationship and agreement that exists with the results obtained in previous studies carried out in (Non-Born-Oppenheimer treatment of the H2 Hookean molecule, 2005) and (Model for a Biexciton) in a Lateral Quantum Dot Based on Exact Solutions for the Hookean Subscript [H, 2] Molecule, 2011).