Tulczyjew’s approach for particles in gauge fields

DOI10.1088/1751-8113/48/14/145201zbMath1321.70018arXiv1405.0748OpenAlexW2056340904WikidataQ60132217 ScholiaQ60132217MaRDI QIDQ5247143

Guowu Meng

Publication date: 23 April 2015

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

Full work available at URL: https://arxiv.org/abs/1405.0748

zbMATH Keywords

double vector bundleSternberg phase spaceTulczyjew triple

Mathematics Subject Classification ID

Hamilton's equations (70H05) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (4)

Theoretical equivalence in classical mechanics and its relationship to duality ⋮ Magnetized Kepler manifolds and their quantization ⋮ On the trajectories of \(\mathrm{Sp}(1)\)-Kepler problems ⋮ Hamilton-Dirac systems for charged particles in gauge fields

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