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19942018
most citedCelestial Mechanics, Conformal Structures, and Gravitational Waves

346 citations · 3.2k across the 53 of their papers we have counts for

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16 papers · 1 filter

math-ph2016★ 8 cited

Duality and helicity: a symplectic viewpoint

M. Elbistan, C. Duval, P. A. Horvathy +1

The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infi…

math-ph2016★ 6 cited

On the Bargmann-Michel-Telegdi equations, and spin-orbit coupling: a tribute to Raymond Stora

Christian Duval

The Bargmann-Michel-Telegdi equations describing the motions of a spinning, charged, relativistic particle endowed with an anomalous magnetic moment in an electromagnetic field, ar…

math-ph2016★ 1 cited

A recollection of Souriau's derivation of the Weyl equation via geometric quantization

Christian Duval

These notes merely intend to memorialize Souriau's overlooked achievements regarding geo\-metric quantization of Poincaré-elementary symplectic systems. Restricting attention to hi…

math-ph2015★ 12 cited

On the Schr{ö}dinger-Newton equation and its symmetries: a geometric view

C. Duval, Serge Lazzarini

The \SN (SN) equation is recast on purely geometrical grounds, namely in terms of Bargmann structures over $(\d+1)$-dimensional Newton-Cartan (NC) spacetimes. Its maximal group of…

math-ph2014★ 17 cited

Explicit metrics for a class of two-dimensional superintegrable systems

Galliano Valent, Christian Duval, Vsevolod Shevchishin

We obtain, in local coordinates, the explicit form of the two-dimensional, super-integrable systems of Matveev and Shevchishin involving cubic integrals. This enables us to determi…

math-ph2013★ 4 cited

Polarized Spinoptics and Symplectic Physics

Christian Duval

We recall the groundwork of spinoptics based on the coadjoint orbits, of given color and spin, of the group of isometries of Euclidean three-space; this model has originally been p…