Solution of the Schrödinger equation for a particle in a uniform force field via the solution for a free particle

Authors

  • G. F. Torres del Castillo Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla https://orcid.org/0000-0002-9262-0252
  • A. S. de la Paz Cota Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla

DOI:

https://doi.org/10.31349/RevMexFisE.23.010215

Keywords:

Schrödinger equation, free particle, particle in a uniform force field, Airy wave packets

Abstract

We show that the solutions of the Schrödinger equation for a free particle are related in a simple manner with the solutions of the Schrödinger equation for a particle in a uniform force field. Making use of this relation we readily obtain the so-called Airy wave packets and the propagator for a particle in a uniform force field.

References

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Published

2026-01-01

How to Cite

[1]
G. F. Torres del Castillo and A. S. de la Paz Cota, “Solution of the Schrödinger equation for a particle in a uniform force field via the solution for a free particle”, Rev. Mex. Fis. E, vol. 23, no. 1, pp. 010215 1–, Jan. 2026.

Issue

Vol. 23 No. 1 (2026): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2026 G. F. Torres del Castillo, A. S. de la Paz Cota

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