Osman Teoman Turgut

Euler-Poincare Reduction: A Geometric Treatment of the Relativistic Spinning Particle

The heavy top is a classic example of Euler-Poincare reduction on a semidirect product group, demonstrating how an advected quantity-the direction of gravity-couples to rotational motion. While the description of relativistic spinning particles via Lie group configurations is well established in Hamiltonian (symplectic...