Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Cariglia M"'
Publikováno v:
J. Math. Phys. 61, 022502 (2020)
The isometries of an exact plane gravitational wave are symmetries for both massive and massless particles. Their conformal extensions are in fact chrono-projective transformations introduced earlier by Duval et al are symmetries for massless particl
Externí odkaz:
http://arxiv.org/abs/1905.08661
Kepler's rescaling becomes, when "Eisenhart-Duval lifted" to $5$-dimensional "Bargmann" gravitational wave spacetime, an ordinary spacetime symmetry for motion along null geodesics, which are the lifts of Keplerian trajectories. The lifted rescaling
Externí odkaz:
http://arxiv.org/abs/1903.01436
Publikováno v:
Phys. Rev. D 98, 044037 (2018)
The Eisenhart lift of a Paul Trap used to store ions in molecular physics is a linearly polarized periodic gravitational wave. A modified version of Dehmelt's Penning Trap is in turn related to circularly polarized periodic gravitational waves, sough
Externí odkaz:
http://arxiv.org/abs/1807.00765
Autor:
Cariglia, M., Gibbons, G. W.
We propose a simple model of entanglement generated by geometry, studying non-relativistic massive L\'evy-Leblond fermions in the $1+2$ geometry of a Bronnikov-Ellis wormhole. The model is equivalent to that of relativistic massless Dirac fermions in
Externí odkaz:
http://arxiv.org/abs/1806.05047
A cosmological extension of the Eisenhart-Duval metric is constructed by incorporating a cosmic scale factor and the energy-momentum tensor into the scheme. The dynamics of the spacetime is governed the Ermakov-Milne-Pinney equation. Killing isometri
Externí odkaz:
http://arxiv.org/abs/1802.03370
Publikováno v:
Condens. Matter 2018, 3(2), 11
We show the presence of non-relativistic L\'evy-Leblond fermions in flat three- and four-layers graphene with AB stacking, extending the results obtained in [Curvatronics2017] for bilayer graphene. When the layer is curved we obtain a set of equation
Externí odkaz:
http://arxiv.org/abs/1801.04194
Publikováno v:
Phys. Rev. B 95, 245426 (2017)
We show that in AB stacked bilayer graphene low energy excitations around the semimetallic points are described by massless, four dimensional Dirac fermions. There is an effective reconstruction of the 4 dimensional spacetime, including in particular
Externí odkaz:
http://arxiv.org/abs/1611.06254
Certain dissipative systems, such as Caldirola and Kannai's damped simple harmonic oscillator, may be modelled by time-dependent Lagrangian and hence time dependent Hamiltonian systems with $n$ degrees of freedom. In this paper we treat these systems
Externí odkaz:
http://arxiv.org/abs/1605.01932
A covariant algorithm for deriving the conserved quantities for natural Hamiltonian systems is combined with the non-relativistic framework of Eisenhart, and of Duval, in which the classical trajectories arise as geodesics in a higher dimensional spa
Externí odkaz:
http://arxiv.org/abs/1404.3422
Autor:
Cariglia, M., Gibbons, G. W., van Holten, J. -W., Horvathy, P. A., Kosinski, P., Zhang, P. -M.
The systematic derivation of constants of the motion, based on Killing tensors and the gauge covariant approach, is outlined. Quantum dots are shown to support second-, third- and fourth-rank Killing tensors.
Comment: 14 pages, no figures. v3: I
Comment: 14 pages, no figures. v3: I
Externí odkaz:
http://arxiv.org/abs/1401.8195