Superintegrable relativistic systems in spacetime-dependent background fields

DOI10.1088/1751-8121/aa7fa3zbMath1421.83047arXiv1701.09168OpenAlexW3101081079MaRDI QIDQ5365170

Anton Ilderton, Thomas Heinzl

Publication date: 6 October 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.09168

zbMATH Keywords

integrabilitysuperintegrabilitybackground fields

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (15)

\(\mathbb{C}^N\)-Smorodinsky-Winternitz system in a constant magnetic field ⋮ Screw-symmetric gravitational waves: a double copy of the vortex ⋮ On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals ⋮ Gluon scattering on self-dual radiative gauge fields ⋮ Resonant Breit-Wheeler process in a strong electromagnetic field ⋮ Advances in QED with intense background fields ⋮ New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases ⋮ Superintegrable relativistic systems in spacetime-dependent background fields ⋮ Superintegrable relativistic systems in scalar background fields ⋮ Plane wave backgrounds and colour-kinematics duality ⋮ Niederer’s transformation, time-dependent oscillators and polarized gravitational waves ⋮ An infinite family of maximally superintegrable systems in a magnetic field with higher order integrals ⋮ Classical superintegrable systems in a magnetic field that separate in Cartesian coordinates ⋮ Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties ⋮ Global propagation of massive quantum fields in the plane gravitational waves and electromagnetic backgrounds

Cites Work

• Holography for Schrödinger backgrounds
• Exact solvability of superintegrable systems
• Lifshitz holography
• Classical and quantum superintegrability with applications
• Integrability and non-integrability in Hamiltonian mechanics
• Three-dimensional superintegrable systems in a static electromagnetic field
• Erratum: Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion [J. Math. Phys. 48, 012902 (2007)]
• Special Relativity
• Superintegrable relativistic systems in spacetime-dependent background fields
• Forms of Relativistic Dynamics
• Generalized Hamiltonian Dynamics
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