Conformal Killing vector fields and a virial theorem

DOI10.1088/1751-8113/47/46/465206zbMath1310.37023arXiv1410.2032OpenAlexW3102953939MaRDI QIDQ2936418

Eduardo Martínez, Irina Gheorghiu, José F. Cariñena, Patrícia Santos

Publication date: 16 December 2014

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

Full work available at URL: https://arxiv.org/abs/1410.2032

zbMATH Keywords

symplectic manifoldsHamiltonian systemsvirial theoremcanonical transformations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of global differential geometry to the sciences (53C80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (6)

Geometric approach to dynamics obtained by deformation of Lagrangians ⋮ Generalized virial theorem for contact Hamiltonian systems ⋮ Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach ⋮ Superintegrable systems on 3-dimensional curved spaces: Eisenhart formalism and separability ⋮ Jacobi multipliers and Hamel’s formalism ⋮ On the virial theorem for nonholonomic Lagrangian systems

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