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Evolución del plano complejo al sistema de coordenadas del cuaternión y a la geometría tresespacial

Author:

Michaud, André

Category:

Research Papers

Sub-Category:

Mathematical Physics

Language:

Spanish

Date Published:

March 23, 2024

File:

/Research Papers-Mathematical Physics/Download/9846

Downloads:

Keywords:

Le plan complexe; la Théorie quantique; Les quaternions; la géométrie trispatiale; la mécanique électromagnétique

Abstract:

El objeto de este artículo es un análisis comparativo de las características geométricas del conjunto de los vectores unitarios 2D del plano complejo tal como se utilizan en la Mecánica Cuántica y en el tratamiento de los circuitos eléctricos LC, del conjunto 3D de los vectores unitarios de la hiperesfera de Hamilton tal como se utilizan en la teoría cuántica y, por último, del conjunto 3x3D de los vectores unitarios de la geometría tresespacial tal como se utilizan en la mecánica electromagnética. Análisis de las implicaciones de la extensión de la utilización del sistema de coordenadas de la hiperesfera al tratamiento de los circuitos LC y al sistema de coordenadas cartesianas 3D tradicional, y de las consecuencias de la utilización de una propiedad única del producto vectorial cruzado de los vectores unitarios complejas del cuaternión de invertir el sentido de aplicación del vector unitario resultante real en el desarrollo de la mecánica electromagnética mediante la geometría tresespacial.