Abstract

BOLANOS, E. J.; SUESCUN, D.  and  RASERO, D. A.. Quantum Mechanics in Coordinate and Moment Representations Through Three Simple Problems. Ciencia en Desarrollo [online]. 2021, vol.12, n.1, pp.23-32.  Epub Dec 08, 2021. ISSN 0121-7488.  https://doi.org/10.19053/01217488.v12.n1.2021.11589.

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

Keywords : Schrödinger equation; coordinates and momentum representations; Fourier transform.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )