A quantum mechanical proof of the fourier inversion formula

dc.creator	Castro, Nelson	es
dc.creator	Mendoza, Ramón	es
dc.creator	Rojas, Jacqueline F.	es
dc.date	2011-12-10
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1170
dc.identifier	10.4067/S0716-09172011000300010
dc.description	The translation of the observable, position and momentum, of a given particle in the real line, at a certain time t, from Classical Mechanics, into the operators, position and momentum, in Quantum Mechanics, gives us the inspiration to make a proof of the existence of the Fourier's Inverse Transform, using algebraic relations involving these operators (position and momentum), a few of Linear Algebra and Analysis, without resorting to the classical technics like Fubini's Theorem and Lebesgue's Dominated Convergence Theorem.	es
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1170/1121
dc.rights	Copyright (c) 2011 Proyecciones. Journal of Mathematics	en
dc.rights	https://creativecommons.org/licenses/by/4.0	en
dc.source	Proyecciones (Antofagasta); Vol. 30 No. 3 (2011); 441-457	en
dc.source	Proyecciones. Revista de Matemática; Vol. 30 Núm. 3 (2011); 441-457	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2011
dc.title	A quantum mechanical proof of the fourier inversion formula	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion