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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Chi tiết về thư mục
Những tác giả chính: Bolaños, E. J., Suescún, D., Rasero Causil, Diego Alejandro
Định dạng: Online
Ngôn ngữ:spa
Được phát hành: Universidad Pedagógica y Tecnológica de Colombia 2021
Những chủ đề:
Truy cập trực tuyến:https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11589
Miêu tả
Tóm tắt: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.