# Euler & Lagrange versus Heisenberg & Schroedinger: Dynamical Pictures in Classical and Quantum Mechanics

@article{Partovi2013EulerL, title={Euler \& Lagrange versus Heisenberg \& Schroedinger: Dynamical Pictures in Classical and Quantum Mechanics}, author={M. Hossein Partovi}, journal={arXiv: Quantum Physics}, year={2013} }

Using quantum-classical analogies, we find that dynamical pictures of quantum mechanics have precise counterparts in classical mechanics. In particular, the Eulerian and Lagrangian descriptions of fluid dynamics in classical mechanics are the analogs of the Schroedinger and Heisenberg pictures in quantum mechanics, respectively. Similarities between classical and quantum dynamical pictures are explored within the framework of the Koopman-von Neumann formalism. These allow for a natural…

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