Slow manifolds of classical Pauli particle enable structure-preserving geometric algorithms for guiding center dynamics

Since variational symplectic integrators for the guiding center was proposed [1,2], structure-preserving geometric algorithms have become an active research field in plasma physics. We found that slow manifolds of classical Pauli particle enable a family dynamics with long-term stability and accuracy. This discovery overcomes difficulty associated unstable parasitic modes when applied to degenerate Lagrangian. It is pleasant surprise Pauli's Hamiltonian electrons, which predated Dirac equation marks beginning physics, reappears physics as effective algorithm solving important problem. technique applicable other Lagrangians reduced from regular Lagrangians.