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Operators that are associated with several important quantities, like angular momentum, play a double role: they are both generators of the symmetry group and ``observables.'' The analysis of different splittings of angular momentum into…

Quantum Physics · Physics 2009-11-07 Daniel R. Terno

We calculate analytically the spin-orbital decomposition of the angular momentum using completely non-paraxial fields that have certain degree of linkage of electric and magnetic lines. The split of the angular momentum into spin-orbital…

Optics · Physics 2018-09-26 M Arrayás , J L Trueba

Spin-orbit interactions in optics traditionally describe an influence of the polarization degree of freedom of light on its spatial properties. The most prominent example is the generation of a spin-dependent optical vortex upon focusing or…

Optics · Physics 2019-03-06 Sergey Nechayev , Jörg S. Eismann , Gerd Leuchs , Peter Banzer

In this paper, we will assume that the structure picture of the rotation angles will be changed according to the scale of measurement (minimum measurable angle) and if we have a device with very high accuracy (high resolution) then we can…

General Physics · Physics 2015-06-16 Ahmad Adel Abutaleb

We show that when an electron or photon propagates in a cylindrically symmetric waveguide, its spin angular momentum (SAM) and its orbital angular momentum (OAM) interact. Remarkably, we find that the dynamics resulting from this spin-orbit…

Quantum Physics · Physics 2009-12-09 C. C. Leary , M. G. Raymer , S. J. van Enk

Recent interest in orbital angular momentum has led to a rapid expansion of research on spin-orbit coupling effects in solids, while also highlighting significant technical challenges. The breaking of rotational symmetry renders the orbital…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Bumseop Kim , Noejung Park , Kyoung-Whan Kim

Using a position operator obtained for spin 1 particles by the present author and Wigner, we obtain a quantum relativistic result for the hidden momentum force experienced by particles with structure. In particular, our result applies to…

Quantum Physics · Physics 2015-06-23 R. F. O'Connell

We propose a new theoretical and practical framework for the study of light-matter interactions and the angular momentum of light. Our proposal is based on helicity, total angular momentum, and the use of symmetries. We compare the new…

Hybrid quantum systems exhibiting coupled optical, spin, and mechanical degrees of freedom can serve as a platform for sensing, or as a bus to mediate interactions between qubits with disparate energy scales. These systems are also creating…

Quantum Physics · Physics 2020-01-08 Pablo R. Zangara , Alexander Wood , Marcus W. Doherty , Carlos. A. Meriles

Spin and orbital angular momenta are fundamental physical characteristics described by polarization and spatial degrees of freedom, respectively. Polarization is a feature of vector fields while spatial phase gradient determines the orbital…

Applied Physics · Physics 2024-03-14 Lei Liu , Xiao-Chen Sun , Yuan Tian , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

Relations between two definitions of (total) angular momentum operator, as a generator of rotations and in the Lagrangian formalism, are explored in quantum field theory. Generally, these definitions result in different angular momentum…

High Energy Physics - Theory · Physics 2007-05-23 Bozhidar Z. Iliev

Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the position operator for a relativistic…

Quantum Physics · Physics 2017-08-31 Konstantin Y. Bliokh , Mark R. Dennis , Franco Nori

We demonstrate experimentally an optical process in which the spin angular momentum carried by a circularly polarized light beam is converted into orbital angular momentum, leading to the generation of helical modes with a wavefront…

Optics · Physics 2007-12-04 L. Marrucci , C. Manzo , D. Paparo

Orbital angular momentum associated with the helical phase-front of optical beams provides an unbounded \qo{space} for both classical and quantum communications. Among the different approaches to generate and manipulate orbital angular…

We give an exact self-consistent operator description of the spin and orbital angular momenta, position, and spin-orbit interactions of nonparaxial light in free space. Both quantum-operator formalism and classical energy-flow approach are…

Optics · Physics 2011-03-28 K. Y. Bliokh , M. A. Alonso , E. A. Ostrovskaya , A. Aiello

In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact allows to express 2-point functions of primary…

High Energy Physics - Theory · Physics 2022-03-30 Marc Gillioz

Since the discovery a century ago, spin describing the intrinsic angular momentum of massive elementary particles has exposed its nature and significant roles in wide ranges of (relativistic) quantum phenomena and practical applications for…

Quantum Physics · Physics 2016-10-12 Taeseung Choi , Sam Young Cho

It is shown that the momentum density of free electromagnetic field splits into two parts. One has no contribution to the net momentum due to the transversality condition. The other yields all the momentum. The angular momentum that…

Optics · Physics 2016-02-01 Chun-Fang Li

Recent developments in the understanding of optical angular momentum have resulted in many demonstrations of unusual optical phenomena, such as optical beams with orbital angular momentum and transverse spinning light. Here we detail novel…

Optics · Physics 2025-02-05 Kayn A. Forbes , Vittorio Aita , Anatoly V. Zayats

Spin-to-orbital-angular-momentum conversion has attracted considerable interest as a tool to create exotic light beams, leading to the emergence of novel devices that implement this function. These converters exploit the geometrical phase…

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