English

The guide to the guiding center aka pseudo-momentum operator construction

Mesoscale and Nanoscale Physics 2023-01-30 v1

Abstract

The strictly gauge invariant approach to the construction of the analog of guiding center integrals of motion in spatially homogeneous/inhomogeneous constant magnetic fields is considered. With their help the gauge invariant equations, describing the wave functions of highly degenerate Landau levels in the classical non-relativistic case, are formulated. The proposed gauge-invariant approach was used also for the construction of the equations describing the quasi-relativistic carriers behavior in the homogeneous/inhomogeneous magnetic field in the single layer graphene.

Keywords

Cite

@article{arxiv.2301.11641,
  title  = {The guide to the guiding center aka pseudo-momentum operator construction},
  author = {E. L. Rumyantsev and A. V. Germanenko},
  journal= {arXiv preprint arXiv:2301.11641},
  year   = {2023}
}

Comments

15 pages