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...

詳細記述

書誌詳細
主要な著者: Bolaños, E. J., Suescún, D., Rasero Causil, Diego Alejandro
フォーマット: Online
言語:spa
出版事項: Universidad Pedagógica y Tecnológica de Colombia 2021
主題:
オンライン・アクセス:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11589
その他の書誌記述
要約: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.