Exact quantum-mechanical equations for particle beams
- URL: http://arxiv.org/abs/2206.14901v1
- Date: Wed, 29 Jun 2022 20:39:36 GMT
- Title: Exact quantum-mechanical equations for particle beams
- Authors: Alexander J. Silenko
- Abstract summary: These equations present the exact generalizations of the well-known paraxial equations in optics.
Some basic properties of exact wave eigenfunctions of particle beams have been determined.
- Score: 91.3755431537592
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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