arXiv:1701.03463 · Journal of Advanced Physics

Ladder Operators Depending on All Variables for a Charged Particle Moving in a Two-Dimensional Uniform Magnetic Field

Shishan Dong, B. J. Falaye, A. E. Guerrero M., Shi‐Hai Dong

Published Jul 27, 2017• 0 citations

Abstract

The ladder operators for one dimensional quantum harmonic oscillator were constructed by Schrödinger in 1940s. We extend this method to a two dimensional uniform magnetic field and establish the ladder operators which depend on all spatial variables of quantum system. The Hamiltonian of quantum system can also be written by the velocity of the particle.

DOI: 10.1166/jap.2017.1343

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