Quantum Mechanics in Coordinate and Moment Representations Through Three Simple Problems

In this paper we present the solution of the stationary Schrödinger equation in the coordinates and momentumrepresentations for three simple problems: the linear potential, the harmonic oscillator and the Dirac deltapotential. We verify through explicit calculation that the wave functions obtained i...

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Detaylı Bibliyografya
Asıl Yazarlar:	Bolaños, E. J., Suescún, D., Rasero Causil, Diego Alejandro
Materyal Türü:	Online
Dil:	spa
Baskı/Yayın Bilgisi:	Universidad Pedagógica y Tecnológica de Colombia 2021
Konular:	Ecuación de Schrödinger, representación de coordenadas y de momento, transformada de Fourier. Schrödinger equation, coordinates and momentum representations, Fourier transform.
Online Erişim:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11589

Diğer Bilgiler
Özet:	In this paper we present the solution of the stationary Schrödinger equation in the coordinates and momentumrepresentations for three simple problems: the linear potential, the harmonic oscillator and the Dirac deltapotential. We verify through explicit calculation that the wave functions obtained in each representationare connected through the Fourier transform, showing that both solutions constitute two complementaryrepresentations of the same quantum state. From a pedagogical point of view, this shows that both solutionscontain information of equal theoretical value and constitute two complementary representations.