Scalar product according to Klein-Fock-Gordon equation in the context of light cone coordinates / Produto escalar associado a equação de Klein-Fock-Gordon no contexto de coordenadas de cone de luz

• Autor(a) principal: Filho, Damião Pedro Meira
• Data de Publicação: 2022
• Outros Autores: Silva, Eliesio Alves da, Araujo, Railene Martins de, Guedes, Fagner Lopes, Costa, Natanael Damasceno da, Costa, Marcelo Silva da
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Revista Veras
• Texto Completo: https://ojs.brazilianjournals.com.br/ojs/index.php/BRJD/article/view/47500
• topic: scalar product; light cone coordinates.

The objective of the present work is to didactically analyze, in the context of relativistic quantum mechanics, the algebraic structuring of the dot product between two quantum wavefunctions relative to a spin-0 quantum particle, assuming the light cone coordinates. For that, the linear momentum tensor is used in four dimensions, considering the description of the operational and quantum character of energy and linear momentum in three dimensions, as well as defining a pseudo volumetric probability density from which the product is reached scalar, properly written in terms of light cone coordinates.