Revista UIS Ingenierías

Vol. 22 Núm. 2 (2023): Revista UIS Ingenierías
Artículos

Aplicación de las teorías de Klein-Gordon y de Bogoliubov-deGennes a Niquelatos

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  • Jose Jose Barba Ortega,
  • Cristian Aguirre ,
  • Julián Faundez
Jose Jose Barba Ortega
Universidad Nacional de Colombia
Cristian Aguirre
Universidade Federal de Mato-Grosso
Julián Faundez
Temple University
DOI: https://doi.org/10.18273/revuin.v22n2-2023011

Publicado 2023-06-11

Palabras clave

  • Quantum theory,
  • Canonical quantization,
  • Second order transformation,
  • Bogoliubov-deGennes,
  • Superconductivity

Cómo citar

Barba Ortega, J. J., Aguirre , C. ., & Faundez, J. . (2023). Aplicación de las teorías de Klein-Gordon y de Bogoliubov-deGennes a Niquelatos. Revista UIS Ingenierías, 22(2), 129–140. https://doi.org/10.18273/revuin.v22n2-2023011

Derechos de autor 2023 Revista UIS Ingenierías

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Resumen

En el presente trabajo mostramos las generalidades de la teoría clásica de campos (CFT), estudiamos su extensión a la teoría cuántica de campos (QFT), donde como ejemplo de análisis numérico y combinación con la técnica de la teoría de campos, resolveremos un sistema tipo Klein-Gordon (KGS) en dos dimensiones espacio temporales (1+1) estudiando su estabilidad mediante el parámetro espectral λ(k), principio de convergencia debido a los parámetros de la red numérica y la solución para el campo ф (x;t), obteniendo resultados novedosos. Además, analizamos brevemente la técnica de operadores de Escalera creación y destrucción desde la perspectiva del oscilador armónico cuántico, para definir algunas propiedades y extensiones al problema en cuantización canónica. Finalmente, aplicamos los temas estudiados a un problema de superconductividad no convencional en compuestos Niquelatos solucionando el sistema de Ecuaciones de Bogoliubov-deGennes (BdG) en la expansión media del campo, obteniendo la banda energética superconductora.

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