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Complex and spinorial techniques of general relativity are used to determine all the states of the $SU(2)$ invariant quantum mechanical systems in which the equality holds in the uncertainty relations for the components of the angular…

General Relativity and Quantum Cosmology · Physics 2023-03-10 László B. Szabados

The supertranslation ambiguity issue of angular momentum is a long-standing problem in general relativity. Recently, there appeared the first definition of angular momentum at null infinity that is supertranslation invariant. However, in…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Xiaokai He , Xiaoning Wu , Naqing Xie

Starting from covariant expressions, a gauge independent separation of orbital and spin angular momentum for electrodynamics is presented. This results from the non-symmetric canonical energy momentum tensor of the electromagnetic field.…

Optics · Physics 2017-06-27 Richard T. Hammond

A plane, monochromatic electromagnetic wave propagating in free space can have a certain amount of spin angular momentum but cannot possess any orbital angular momentum. Even the spin angular momentum of the plane-wave is difficult to…

Optics · Physics 2023-10-03 Masud Mansuripur

Transverse-momentum spectra in hard processes are typically described either in terms of intrinsic transverse momentum of partons, or in terms of perturbative radiation. The relation between these descriptions is discussed for the example…

High Energy Physics - Phenomenology · Physics 2009-02-19 Markus Diehl

Chaotic scattering with an internal degree of freedom and the possibility to generate directed transport of angular momentum is studied in a specific model, a magnetic dipole moving in a periodically modulated magnetic field confined to a…

Chaotic Dynamics · Physics 2008-06-14 T. Dittrich , F. L. Dubeibe

Non-topological solitons, such as Q-balls, may contribute to the cosmological dark matter. The formation and evolution of Q-balls in the early universe requires an understanding of solitons with nonzero angular momentum. We derive (rather…

High Energy Physics - Theory · Physics 2026-02-18 Benjamin DeVries , Fabrizio Vassallo , Christopher B. Verhaaren

The quantum theory of rotation angles (S. M. Barnett and D. T. Pegg, Phys. Rev. A, 41, 3427-3425 (1990)) is generalised to non-integer values of the orbital angular momentum. This requires the introduction of an additional parameter, the…

Quantum Physics · Physics 2009-11-13 J. B. Goette , S. Franke-Arnold , R. Zambrini , Stephen M. Barnett

We study the two-photon detection amplitude of the down-converted beams in spontaneous parametric down-conversion when the physical variable of orbital angular momentum is involved, taking into account both conservation and non-conservation…

Quantum Physics · Physics 2007-05-23 Sheng Feng , Chao-Hsiang Chen , Geraldo A. Barbosa , Prem Kumar

Creation of angular momentum in a relativistic electron-positron plasma is explored. It is shown that a chain of angular momentum carrying vortices is a robust asymptotic state sustained by the generalized nonlinear Schrodinger equation…

Plasma Physics · Physics 2009-11-07 T. Tatsuno , V. I. Berezhiani , M. Pekker , S. M. Mahajan

How does one measure the angular momentum carried away by gravitational radiation during the merger of a binary black hole? This has been a subtle issue since the 1960's due to the discovery of ``supertranslation ambiguity": the angular…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Mu-Tao Wang

The general question, crucial to an understanding of the internal structure of the nucleon, of how to split the total angular momentum of a photon or gluon into spin and orbital contributions is one of the most important and interesting…

High Energy Physics - Phenomenology · Physics 2015-07-01 E. Leader , C. Lorce

Electromagnetic waves with an azimuthal phase shift are known to have a well defined orbital angular momentum. Different methods that allow for the detection of the angular momentum are proposed. For some, we discuss the required…

Astrophysics · Physics 2008-05-20 H. Then , B. Thidé , J. T. Mendonça , T. D. Carozzi , J. Bergman , W. A. Baan , S. Mohammadi , B. Eliasson

A system consisting of a point material particle and a scalar field described by the nonlinear Klein-Gordon equation has been considered. It has been shown that, when taking into account relativistic effects, in the case of small rest…

Pattern Formation and Solitons · Physics 2019-07-09 R. K. Salimov , E. G. Ekomasov

Recently, spatiotemporal optical vortex pulses carrying a purely transverse intrinsic orbital angular momentum were generated experimentally [{\it Optica} {\bf 6}, 1547 (2019); {\it Nat. Photon.} {\bf 14}, 350 (2020)]. However, an accurate…

Optics · Physics 2021-06-18 Konstantin Y. Bliokh

Angular momentum in classical and quantum mechanics is carried out beyond textbooks frames. We compare angular distribution of particle position with classical probabilistic approach. Addition of angular momenta is also discussed together…

Quantum Physics · Physics 2019-11-07 Jan Mostowski , Joanna Pietraszewicz

There exist at least a few different kind of averaging of the differences of the energy-momentum and angular momentum in normal coordinates {\bf NC(P)} which give tensorial quantities. The obtained averaged quantities are equivalent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Garecki

By means of the Helmholtz theorem on the decomposition of vector fields, the angular momentum of the classical electromagnetic field is decomposed, in a general and manifestly gauge invariant manner, into a spin component and an orbital…

Optics · Physics 2007-05-23 A. M. Stewart

A family of angular momentum coherent states on the sphere is constructed using previous work by Aragone et al [1]. These states depend on a complex parameter which allows an arbitrary squeezing of the angular momentum uncertainties. The…

Quantum Physics · Physics 2007-05-23 R. Arvieu , P. Rozmej

Spin and orbital angular momentum of an optical beam are two independent parameters that exhibit distinct effects on mechanical objects. However, when laser beams with angular momentum interact with plasmas, one can observe the interplay…

Plasma Physics · Physics 2020-11-20 C. K. Huang , C. J. Zhang , Z. Nie , K. A. Marsh , C. E. Clayton , C. Joshi
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