Constants of Motion and Quantum Non-Relativistic Motion of a Charged Particle on a Flat Surface under Constant Magnetic Field | Chapter 5 | Current Research Progress in Physical Science Vol. 7

The motion of a charged particle moving on a flat surface is studied through the constants of motion associated with the system, given the magnetic gauge. The usual Landau’ solution and the non-separable solution for the Landau’s gauge are found, and a new non-separable solution for the symmetric gauge is given. As a consequence of this, the quantization of the magnetic flux results from the invariance of the solutions under the unitary transformations which arise from the operator’s constants of motion.

 

Author (s) Details

 

Gustavo V. Lopez
Department of Physics, University of Guadalajara, Mexico.

 

Jorge A. Lizarraga
Department of Physics, University of Guadalajara, Mexico.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v7/3694