Relating problems in two dimensions. A particle in a uniform magnetic field and a free particle
Abstract
We give a coordinate transformation in the extended configuration space that maps the trajectories of a free particle in two dimensions into the trajectories of a charged particle in a uniform magnetic field. We show that this coordinate transformation also relates the solutions of the Schrödinger equations for these two problems.
Fields of Study & Subjects
Quantum and Classical Electrodynamics
Quantum chaos and dynamical systems
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Revista Mexicana de Física
- Volume
- 72
- Issue
- 1 Jan-Feb
- Publication date
- 1 January 2026