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...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkkit:	Bolaños, E. J., Suescún, D., Rasero Causil, Diego Alejandro
Materiálatiipa:	Online
Giella:	spa
Almmustuhtton:	Universidad Pedagógica y Tecnológica de Colombia 2021
Fáttát:	Ecuación de Schrödinger, representación de coordenadas y de momento, transformada de Fourier. Schrödinger equation, coordinates and momentum representations, Fourier transform.
Liŋkkat:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11589

Govvádus
Čoahkkáigeassu:	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.