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We show that the angular momentum distribution of neutral atoms, in the sense of occupation numbers, follows the Thomas-Fermi angular momentum distribution in the limit of large atomic number. In particular, we show that the angular…

Mathematical Physics · Physics 2025-06-18 August Bjerg , Søren Fournais , Peter Hearnshaw , Jan Philip Solovej

Many methods now exist to prepare free electrons into orbital angular momentum states, and the predicted applications of these electron states as probes of materials and scattering processes are numerous. The development of electron orbital…

Quantum Physics · Physics 2017-03-16 Tyler R. Harvey , Benjamin J. McMorran

This paper is devoted to the analysis of the distribution of the total angular momentum in a relativistic configuration. Using cumulants and generating function formalism this analysis can be reduced to the study of individual subshells…

Atomic Physics · Physics 2021-09-01 Michel Poirier , Jean-Christophe Pain

This paper is devoted to the analysis of the distribution of the total magnetic quantum number $M$ in a relativistic subshell with $N$ equivalent electrons of momentum $j$. This distribution is analyzed through its cumulants and through…

Statistical Mechanics · Physics 2021-09-01 Michel Poirier , Jean-Christophe Pain

We use laser-induced rotation of single molecules embedded in superfluid helium nanodroplets to reveal angular momentum dynamics and transfer in a controlled setting, under far-from-equilibrium conditions. As an unexpected result, we…

We study the momentum distribution of the electrons in an extended periodic Anderson model, where the interaction, $U_{cf}$, between itinerant and localized electrons is taken into account. In the symmetric half-filled model, due to the…

Strongly Correlated Electrons · Physics 2016-02-11 I. Hagymasi , J. Solyom , O. Legeza

Ensembles of elongated magnetic droplets in a rotating field are studied experimentally. In a given range of field strength and frequency the droplets form rotating structures with a triangular order - rotating crystals. A model is…

Soft Condensed Matter · Physics 2020-03-18 Andris P. Stikuts , Régine Perzynski , Andrejs Cēbers

We study the Laughlin wave function on the cylinder. We find it only describes an incompressible fluid when the two lengths of the cylinder are comparable. As the radius is made smaller at fixed area, we observe a continuous transition to…

Condensed Matter · Physics 2009-10-22 E. H. Rezayi , F. D. M. Haldane

The change in the angular momentum of an atomic cluster following evaporation is investigated using rigorous phase space theory and molecular dynamics simulations, with an aim at the possible rotational cooling and heating effects.…

Statistical Mechanics · Physics 2009-11-10 P. Parneix , F. Calvo

The distributions $P(M_L,M_S)$ of the total magnetic quantum numbers $M_L$ and $M_S$ for $N$ electrons of angular momentum $\ell$, as well as the enumeration of $LS$ spectroscopic terms and spectral lines, are crucial for the calculation of…

Atomic Physics · Physics 2024-10-03 Jean-Christophe Pain , Michel Poirier

Magnetic droplets obtained by induced phase separation in a magnetic colloid show a large variety of shapes when exposed to an external field. However, the description of shapes is often limited. Here we formulate an algorithm based on…

Fluid Dynamics · Physics 2017-06-28 Janis Erdmanis , Guntars Kitenbergs , Regine Perzynski , Andrejs Cebers

We perform theoretical investigation of the localized state dynamics in the presence of interaction with the reservoir and Coulomb correlations. We analyze kinetic equations for electron occupation numbers with different spins taking into…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 N. S. Maslova , V. N. Mantsevich , P. I. Arseyev

Evaporative cooling of helium nanodroplets is studied with a statistical rate model that includes, for the first time, angular momentum conservation as a constraint on the accessible droplet states. It is found that while the final…

Chemical Physics · Physics 2009-11-10 Kevin K. Lehmann , Adriaan M. Dokter

We propose a method for sorting electrons by orbital angular momentum (OAM). Several methods now exist to prepare electron wavefunctions in OAM states, but no technique has been developed for efficient, parallel measurement of pure and…

Instrumentation and Detectors · Physics 2017-03-16 Benjamin J. McMorran , Tyler R. Harvey , Martin P. J. Lavery

Electron vortex beams have been predicted to enable atomic scale magnetic information measurement, via transfer of orbital angular momentum. Research so far has focussed on developing production techniques and applications of these beams.…

Optics · Physics 2014-05-21 L. Clark , A. Béché , G. Guzzinati , J. Verbeeck

Following the very recent experimental realisation of electron vortices, we consider their interaction with matter, in particular the transfer of orbital angular momentum in the context of electron energy loss spectroscopy, and the recently…

Quantum Physics · Physics 2015-06-03 Sophia Lloyd , Mohamed Babiker , Jun Yuan

We have measured electron transport through a vertical quantum dot containing a tunable number of electrons between 0 and 40. Over some region in magnetic field the electrons are spin polarized and occupy successive angular momentum states,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. H. Oosterkamp , J. W. Janssen , L. P. Kouwenhoven , D. G. Austing , T. Honda , S. Tarucha

Unimolecular evaporation in rotating, non-spherical atomic clusters is investigated using Phase Space Theory in its orbiting transition state version. The distributions of the total kinetic energy release epsilon_tr and the rotational…

Chemical Physics · Physics 2009-11-10 P. Parneix , F. Calvo

Occupation numbers of natural orbitals capture the physics of strong electron correlations in momentum space. A Natural Orbital Density Functional Theory based on the antisymmetrized geminal product provides these occupation numbers and the…

Strongly Correlated Electrons · Physics 2014-05-06 B. Barbiellini

We compare the exact diagonalization ground wave function (calculated wothout any restriction) of a two dimensional droplet submitted to a perpendicular magnetic field with the Laughlin ansatz as the number of electrons increases. The fully…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Barberan
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