A quantum mechanical proof of the fourier inversion formula

• Castro, Nelson ^[1] ; Mendoza, Ramón ^[2] ; Rojas, Jacqueline F. ^[1]
  1. [1] Universidade Federal da Paraíba

     Universidade Federal da Paraíba

     Brasil

     
  2. [2] Universidade Federal de Pernambuco

     Universidade Federal de Pernambuco

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 3, 2011, págs. 441-457
• Idioma: inglés
• DOI: 10.4067/S0716-09172011000300010
• Enlaces
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• Resumen

  • 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.

• Referencias bibliográficas
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