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Open AccessJournal ArticleDOI

Quantum-mechanical properties of Bessel beams

Rocío Jáuregui, +1 more
- 22 Mar 2005 - 
- Vol. 71, Iss: 3, pp 033411
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TLDR
In this article, Bessel beams are studied within the general framework of quantum optics and the two modes of the electromagnetic field are quantized and the basic dynamical operators are identified.
Abstract
Bessel beams are studied within the general framework of quantum optics. The two modes of the electromagnetic field are quantized and the basic dynamical operators are identified. As we show explicitly, the operators that are usually associated with linear momentum, orbital angular momentum, and spin do not satisfy the algebra of the translation and rotation group. Nevertheless, we identify some components of these operators that represent observable quantities in an appropriate basis, thus characterizing the quantum numbers of Bessel photons. Some physical consequences of these results are discussed.

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Theory and applications of free-electron vortex states

TL;DR: In this paper, the main properties of electron vortex states, experimental achievements and possible applications within transmission electron microscopy, as well as the possible role of vortex electrons in relativistic and high-energy processes are described.
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The angular momentum controversy: What’s it all about and does it matter?

TL;DR: In this article, the authors provide a pedagogical introduction to the angular momentum decomposition in a gauge theory, present the main relevant decompositions and discuss in detail several aspects of the controversies regarding the question of gauge invariance, frame dependence, uniqueness and measurability.
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The angular momentum controversy: What's it all about and does it matter?

TL;DR: In this article, the authors provide a pedagogical introduction to the angular momentum decomposition in a gauge theory, present the main relevant decompositions and discuss in detail several aspects of the controversies regarding the question of gauge invariance, frame dependence, uniqueness and measurability.
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Electromagnetic Duality Symmetry and Helicity Conservation for the Macroscopic Maxwell's Equations

TL;DR: It is shown that the electromagnetic duality symmetry can be restored for the macroscopic Maxwell's equations by the presence of charges, and the restoration is shown to be independent of the geometry of the problem.
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Conservation of the spin and orbital angular momenta in electromagnetism

TL;DR: In this article, the description and separation of the spin and orbital angular momenta (AM) of an electromagnetic field in free space was reviewed and re-examine, and it was shown that these are physically measurable and conserved quantities.
References
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Journal ArticleDOI

Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes.

TL;DR: Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum and an astigmatic optical system may be used to transform a high-order LaguERre- Gaussian mode into aHigh-order Hermite-Gaussia mode reversibly.
Book

Mathematical Methods for Physicists

TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Book

Optical Coherence and Quantum Optics

Leonard Mandel, +1 more
TL;DR: In this article, the authors present a systematic account of optical coherence theory within the framework of classical optics, as applied to such topics as radiation from sources of different states of coherence, foundations of radiometry, effects of source coherence on the spectra of radiated fields, and scattering of partially coherent light by random media.
Journal ArticleDOI

Diffraction-free beams.

TL;DR: The first experimental investigation of nondiffracting beams, with beam spots as small as a few wavelengths, can exist and propagate in free space, is reported.
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