Solution of the Schrödinger equation for a particle in a uniform force field via the solution for a free particle
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.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Quantum and Classical Electrodynamics
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Revista Mexicana de Física E
- Volume
- 23
- Issue
- 1
- Publication date
- 1 January 2026