Matches in SemOpenAlex for { <https://semopenalex.org/work/W2794762373> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W2794762373 abstract "One of the reasons for the tremendous success of a plane-wave approximation in particle physics is that the non-paraxial corrections to such observables as energy, magnetic moment, scattering cross section, and so on are attenuated as $lambda_c^2/sigma_{perp}^2 ll 1$ where $sigma_{perp}$ is a beam width and $lambda_c = hbar/mc$ is a Compton wavelength. This amounts to less than $10^{-14}$ for modern electron accelerators and less than $10^{-6}$ for electron microscopes. Here we show that these corrections are $|ell|$ times enhanced for vortex particles with high orbital angular momenta $|ell|hbar$, which can already be as large as $10^3hbar$. We put forward the relativistic wave packets, both for vortex bosons and fermions, which transform correctly under the Lorentz boosts, are localized in a 3D space, and represent a non-paraxial generalization of the Laguerre-Gaussian beams. We demonstrate that it is $sqrt{|ell|}, lambda_c gg lambda_c$ that defines a paraxial scale for such packets, in contrast to those with a non-singular phase (say, the Airy beams). With current technology, the non-paraxial corrections can reach the relative values of $10^{-3}$, yield a proportional increase of an invariant mass of the electron packet, describe a spin-orbit coupling as well as the quantum coherence phenomena in particle and atomic collisions." @default.
- W2794762373 created "2018-04-06" @default.
- W2794762373 creator A5045117129 @default.
- W2794762373 date "2018-03-24" @default.
- W2794762373 modified "2023-09-27" @default.
- W2794762373 title "Non-paraxial relativistic wave packets with orbital angular momentum." @default.
- W2794762373 cites W2786343919 @default.
- W2794762373 hasPublicationYear "2018" @default.
- W2794762373 type Work @default.
- W2794762373 sameAs 2794762373 @default.
- W2794762373 citedByCount "0" @default.
- W2794762373 crossrefType "posted-content" @default.
- W2794762373 hasAuthorship W2794762373A5045117129 @default.
- W2794762373 hasConcept C106978608 @default.
- W2794762373 hasConcept C120665830 @default.
- W2794762373 hasConcept C121332964 @default.
- W2794762373 hasConcept C147120987 @default.
- W2794762373 hasConcept C155675718 @default.
- W2794762373 hasConcept C168834538 @default.
- W2794762373 hasConcept C2778113609 @default.
- W2794762373 hasConcept C56034020 @default.
- W2794762373 hasConcept C62520636 @default.
- W2794762373 hasConceptScore W2794762373C106978608 @default.
- W2794762373 hasConceptScore W2794762373C120665830 @default.
- W2794762373 hasConceptScore W2794762373C121332964 @default.
- W2794762373 hasConceptScore W2794762373C147120987 @default.
- W2794762373 hasConceptScore W2794762373C155675718 @default.
- W2794762373 hasConceptScore W2794762373C168834538 @default.
- W2794762373 hasConceptScore W2794762373C2778113609 @default.
- W2794762373 hasConceptScore W2794762373C56034020 @default.
- W2794762373 hasConceptScore W2794762373C62520636 @default.
- W2794762373 hasLocation W27947623731 @default.
- W2794762373 hasOpenAccess W2794762373 @default.
- W2794762373 hasPrimaryLocation W27947623731 @default.
- W2794762373 hasRelatedWork W1681215125 @default.
- W2794762373 hasRelatedWork W1755091699 @default.
- W2794762373 hasRelatedWork W1986540933 @default.
- W2794762373 hasRelatedWork W2022998025 @default.
- W2794762373 hasRelatedWork W2051813125 @default.
- W2794762373 hasRelatedWork W2052611575 @default.
- W2794762373 hasRelatedWork W2094000921 @default.
- W2794762373 hasRelatedWork W2155708678 @default.
- W2794762373 hasRelatedWork W2527286975 @default.
- W2794762373 hasRelatedWork W2693781430 @default.
- W2794762373 hasRelatedWork W2764283079 @default.
- W2794762373 hasRelatedWork W2766146286 @default.
- W2794762373 hasRelatedWork W2767526778 @default.
- W2794762373 hasRelatedWork W2807278754 @default.
- W2794762373 hasRelatedWork W2963729168 @default.
- W2794762373 hasRelatedWork W3098327681 @default.
- W2794762373 hasRelatedWork W3101192597 @default.
- W2794762373 hasRelatedWork W3103670396 @default.
- W2794762373 hasRelatedWork W3200688366 @default.
- W2794762373 hasRelatedWork W80824196 @default.
- W2794762373 isParatext "false" @default.
- W2794762373 isRetracted "false" @default.
- W2794762373 magId "2794762373" @default.
- W2794762373 workType "article" @default.