Light and matter diffraction from the unified viewpoint of Feynman?s Sum of all Paths

In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman?s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum contex...

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Detalles Bibliográficos
Autores: Arlego, Marcelo José Fabián, Fanaro, Maria de Los Angeles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/71879
Acceso en línea:http://hdl.handle.net/11336/71879
Access Level:acceso abierto
Palabra clave:Light
Matter
Difraction
Feynman
Method
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/5.3
https://purl.org/becyt/ford/5
Descripción
Sumario:In this work, we present a pedagogical strategy to describe the diffraction phenomenon based on a didactic adaptation of the Feynman?s path integrals method, which uses only high school mathematics. The advantage of our approach is that it allows to describe the diffraction in a fully quantum context, where superposition and probabilistic aspects emerge naturally. Our method is based on a time-independent formulation, which allows modelling the phenomenon in geometric terms and trajectories in real space, which is an advantage from the didactic point of view. A distinctive aspect of our work is the description of the series of transformations and didactic transpositions of the fundamental equations that give rise to a common quantum framework for light and matter. This is something that is usually masked by the common use, and that to our knowledge has not been emphasized enough in a unified way. Finally, the role of the superposition of nonclassical paths and their didactic potential are briefly mentioned.