Canonical equivalence of a particle in a magnetic field to a simple oscillator

• URL: http://arxiv.org/abs/2304.00401v1
• Date: Sat, 1 Apr 2023 22:48:55 GMT
• Title: Canonical equivalence of a particle in a magnetic field to a simple oscillator
• Authors: Henryk Gzyl
• Abstract summary: It is proved that a classical (respec. quantum) system consisting of a particle in a constant magnetic field is canonically (respec. unitarily) equivalent to a 2-dimensional harmonic oscillator plus a free particle.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: It is proved that a classical (respec. quantum) system consisting of a particle in a constant magnetic field is canonically (respec. unitarily) equivalent to a 2-dimensional harmonic oscillator plus a free particle. It is also shown that the eigenvectors of the discrete spectrum are entangled states of the 2-dimensional harmonic oscillator.

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