Dynamics of interacting particles with \(\mathrm{SL}(2, \mathbb{R})\) symmetry

DOI10.1007/S11232-015-0341-8zbMath1335.81080OpenAlexW2284652883MaRDI QIDQ269019

Sergey N. Manida

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0341-8

zbMATH Keywords

anti-de Sitter spaceBeltrami coordinatesrelativistic kinematicsrelativity principle

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Equations of motion in general relativity and gravitational theory (83C10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Accelerated reference systems in AdS space

Cites Work

• Generalized relativistic kinematics
• The maximal kinematical invariance group of fluid dynamics and explosion-implosion duality.
• Conservation laws for classical particles in anti-de Sitter-Beltrami space
• The maximal invariance group of Newton’s equations for a free point particle
• Black Holes and Superconformal Mechanics

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