Eisenhart lifts and symmetries of time-dependent systems

DOI10.1016/j.aop.2016.07.033zbMath1380.81244arXiv1605.01932OpenAlexW3098375362MaRDI QIDQ1700968

Peter A. Horvathy, Gary W. Gibbons, Marco Cariglia, Christian Duval

Publication date: 22 February 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01932

zbMATH Keywords

Bargmann spacedamped oscillatorCaldirola-Kanai modelDmitriev-Zel'dovich equationsEisenhart liftHubble model

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20)

Related Items (18)

Gravitational waves and conformal time transformations ⋮ \(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ Eisenhart lift for higher derivative systems ⋮ Eisenhart lift of Koopman-von Neumann mechanics ⋮ Scaling and conformal symmetries for plane gravitational waves ⋮ Jacobi-Maupertuis-Eisenhart metric and geodesic flows ⋮ Exact Baker–Campbell–Hausdorff formula for the contact Heisenberg algebra ⋮ Subtleties of nonrelativistic reduction and applications ⋮ Embedding Galilean and Carrollian geometries. I. Gravitational waves ⋮ On the Lagrangian description of dissipative systems ⋮ Tensionless tales: vacua and critical dimensions ⋮ Conformal and projective symmetries in Newtonian cosmology ⋮ Niederer’s transformation, time-dependent oscillators and polarized gravitational waves ⋮ Field theory with coordinate dependent noncommutativity ⋮ Equivalence of a harmonic oscillator to a free particle and Eisenhart lift ⋮ The teleparallel equivalent of Newton–Cartan gravity ⋮ Hidden symmetry of the static response of black holes: applications to Love numbers ⋮ Dynamics of entropy and information of time-dependent quantum systems: exact results

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Riemannian approach to Randers geodesics
• Time-dependent quantum systems and chronoprojective geometry
• On Galilei invariance in quantum mechanics and the Bargmann superselection rule
• The symmetries of the Manton superconductivity model
• The quantum Arnold transformation
• Symmetries of the quantum damped harmonic oscillator
• SL(3,R) realisations and the damped harmonic oscillator
• Rayleigh’s dissipation function at work
• Projective geometry of systems of second-order differential equations
• Non-relativistic conformal symmetries and Newton–Cartan structures
• Classical Solution of the Two-Body Problem If the Gravitational Constant Diminishes Inversely with the Age of the Universe
• Newton–Hooke spacetimes, Hpp-waves and the cosmological constant
• On Dissipative Systems and Related Variational Principles
• Gauge-invariant formulations of lineal gravities
• Wess-Zumino-Witten model based on a nonsemisimple group
• The Mass-Particle in an Expanding Universe
• Discrete Newtonian cosmology: perturbations
• Discrete Newtonian cosmology
• Kron's Non-Riemannian Electrodynamics
• The quantum damped harmonic oscillator

This page was built for publication: Eisenhart lifts and symmetries of time-dependent systems