Complex Lagrangian dynamics
arXiv:2511.22363 · doi:10.1007/s10773-025-06213-0
Abstract
In this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the Euler-Lagrange equation, of the Hamilton principle, a geometric formulation, and the relation to a previous complex Hamiltonian formalism. The framework is particularly suitable for non-stationary motion, and various pathways can be followed in future investigation.
Accept by Int. J. Theor. Phys
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