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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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون:	Bolaños, E. J., Suescún, D., Rasero Causil, Diego Alejandro
التنسيق:	Online
اللغة:	spa
منشور في:	Universidad Pedagógica y Tecnológica de Colombia 2021
الموضوعات:	Ecuación de Schrödinger, representación de coordenadas y de momento, transformada de Fourier. Schrödinger equation, coordinates and momentum representations, Fourier transform.
الوصول للمادة أونلاين:	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/11589

الوصف
الملخص:	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.