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We review basic physics and novel types of optical angular momentum. We start with a theoretical overview of momentum and angular momentum properties of generic optical fields, and discuss methods for their experimental measurements. In…

Optics · Physics 2015-09-04 Konstantin Y. Bliokh , Franco Nori

The determination of quark angular momentum requires the knowledge of the generalized parton distribution E in the forward limit. We assume a connection between this function and the Sivers transverse-momentum distribution, based on model…

High Energy Physics - Phenomenology · Physics 2013-05-29 Alessandro Bacchetta , Marco Radici

Broadband, coherent light carrying optical angular momentum is of potential utility for a variety of classical and quantum communication applications, but at present few such sources exist. We study the generation of supercontinua in a ring…

Optics · Physics 2020-01-08 Calum Maitland , Fabio Biancalana

After reviewing the WKB series for the Schr\"odinger equation we calculate the semiclassical expansion for the eigenvalues of the angular momentum operator. This is the first systematic semiclassical treatment of the angular momentum for…

Nuclear Theory · Physics 2011-04-15 Marko Robnik , Luca Salasnich

In this paper, the deformed Special Relativity, which leads to an essentially new theoretical context of quantum mechanics, is presented. The formulation of the theory arises from a straightforward analogy with the Special Relativity, but…

General Physics · Physics 2015-10-07 Lukasz Andrzej Glinka

We calculate the orbital angular momentum of the `quark' in the scalar diquark model as well as that of the electron in QED (to order $\alpha$). We compare the orbital angular momentum obtained from the Jaffe-Manohar decomposition to that…

High Energy Physics - Phenomenology · Physics 2010-04-30 Matthias Burkardt , Hikmat BC

The algebra of biquaternions possess a manifestly Lorentz invariant form and induces an extended space-time geometry. We consider the links between this complex pre-geometry and real geometry of the Minkowski space-time. Twistor structures…

General Relativity and Quantum Cosmology · Physics 2022-09-05 Vladimir V. Kassandrov , Nina V. Markova

In this article, we present the definitive transformation formulae of the mass aspect and angular momentum aspect under BMS transformations. Two different approaches that lead to the same formulae are taken. In the first approach, the…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Po-Ning Chen , Mu-Tao Wang , Ye-Kai Wang , Shing-Tung Yau

For observers in curved spacetimes, elements of the dual space of the set of linearized Poincar\'e transformations from an observer's tangent space to itself can be naturally interpreted as local linear and angular momenta. We present an…

General Relativity and Quantum Cosmology · Physics 2016-05-05 Éanna É. Flanagan , David A. Nichols , Leo C. Stein , Justin Vines

We study the motion of self deforming bodies with non zero angular momentum when the changing shape is known as a function of time. The conserved angular momentum with respect to the center of mass, when seen from a rotating frame,…

Mathematical Physics · Physics 2009-11-11 Alejandro Cabrera

It is customary to assume that the law of conservation of the angular momentum is violated for an asymmetric energy-momentum tensors. This is the reason for criticizing the Minkowski tensor and other asymmetric energy-momentum tensors. In…

Classical Physics · Physics 2017-08-16 Yurii A. Spirichev

We show that a particular noncommutative geometry, sometimes called angular or $\rho$-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in…

High Energy Physics - Theory · Physics 2021-05-19 Fedele Lizzi , Patrizia Vitale

We derive a sum rule for the total quark angular momentum of a spin-one hadronic system within a gauge invariant decomposition of the hadron's spin. We show that the total angular momentum can be measured through deeply virtual Compton…

High Energy Physics - Phenomenology · Physics 2015-03-17 Swadhin K. Taneja , Kunal Kathuria , Simonetta Liuti , Gary R. Goldstein

We engineer angular momentum eigenstates of a single atom by using a novel all-optical approach based on the interference of Laguerre-Gaussian beams. We confirm the imprint of angular momentum by measuring the two-dimensional density…

Quantum Gases · Physics 2025-01-14 Philipp Lunt , Paul Hill , Johannes Reiter , Philipp M. Preiss , Maciej Gałka , Selim Jochim

Scalar-tensor theories have a long history as possible phenomenological alternatives to General Relativity, but are known to potentially produce deviations from the (strong) equivalence principle in systems involving self-gravitating…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Adrien Kuntz , Enrico Barausse

The recently suggested quasi-local spin-angular momentum expressions, based on the Bramson superpotential and on the holomorphic or anti-holomorphic spinor fields, are calculated for large spheres near the future null infinity of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Laszlo B Szabados

In a previous article [Phys. Rev. D 82 104040 (2010)], we derived an energy-momentum tensor for linear gravity that exhibited positive energy density and causal energy flux. Here we extend this framework by localizing the angular momentum…

General Relativity and Quantum Cosmology · Physics 2012-10-03 Luke M. Butcher , Anthony Lasenby , Michael Hobson

The quantum rotor represents, after the harmonic oscillator, the next obvious quantum system to study the complementary pair of variables: the angular momentum and the unitary shift operator in angular momentum. Proper quantification of…

Quantum Physics · Physics 2024-08-13 Ladislav Mišta , Matouš Mišta , Zdeněk Hradil

The rigid-irrotational flow transformation in the previous microscopic cranking model (MCRM) for nuclear collective rotation about a single axis and its coupling to intrinsic motion is generalized. This generalization allow us to consider…

Nuclear Theory · Physics 2017-09-12 Parviz Gulshani

The energy-momentum tensor form factors contain a wealth of information about the nucleon. It is insightful to visualize this information in terms of 3D or 2D densities related by Fourier transformations to the form factors. The densities…

High Energy Physics - Phenomenology · Physics 2019-07-19 Peter Schweitzer , Kemal Tezgin
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