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Exact quantum-mechanical equations for particle beams

Quantum Physics 2022-07-07 v1

Abstract

The exact quantum-mechanical equations for beams of free particles including photons and for beams of Dirac and spin-1 particles in a uniform magnetic field have been derived. These equations present the exact generalizations of the well-known paraxial equations in optics (exact Helmholtz equation for light beams) and particle physics and of the previously obtained paraxial equation for a Dirac particle in a uniform magnetic field. Some basic properties of exact wave eigenfunctions of particle beams have been determined.

Keywords

Cite

@article{arxiv.2206.14901,
  title  = {Exact quantum-mechanical equations for particle beams},
  author = {Alexander J. Silenko},
  journal= {arXiv preprint arXiv:2206.14901},
  year   = {2022}
}

Comments

4 pages

R2 v1 2026-06-24T12:08:54.609Z