<p>Landau Ginzburg Equations relate superconducting electron density with the applied magnetic field or the current. Therefore, one of the important aspects of the Ginzburg Landau theory is related to the treatment of mixed state and the intermediate state in the different classes of superconductors. This paper presents the study of the theoretical development of the solution of the equations of Landau Ginburg with the implementation of the terms and conditions of the energy, and the phenomenological parameters describe the relationship between the order parameter and vector potential by changes Landau Ginzburg parameters becomes similar to a Schrödinger equation for a free particle with a linear equation solution method. This equation is applied successfully in the study of the sample near the superconducting transition temperature either above or below it.</p>